diff --git a/dlls/dbghelp/module.c b/dlls/dbghelp/module.c
index 21c88308669..c2a3f041059 100644
--- a/dlls/dbghelp/module.c
+++ b/dlls/dbghelp/module.c
@@ -129,11 +129,9 @@ struct module* module_new(struct process* pcs, const WCHAR* name,
     struct module*      module;
 
     assert(type == DMT_ELF || type == DMT_PE);
-    if (!(module = HeapAlloc(GetProcessHeap(), 0, sizeof(*module))))
+    if (!(module = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(*module))))
 	return NULL;
 
-    memset(module, 0, sizeof(*module));
-
     module->next = pcs->lmodules;
     pcs->lmodules = module;
 
diff --git a/dlls/gdi32/tests/font.c b/dlls/gdi32/tests/font.c
index fefb448141f..bfe2a4794a3 100644
--- a/dlls/gdi32/tests/font.c
+++ b/dlls/gdi32/tests/font.c
@@ -482,8 +482,7 @@ static void test_text_extents(void)
     }
 
     len = lstrlenW(wt);
-    extents = HeapAlloc(GetProcessHeap(), 0, len * sizeof extents[0]);
-    memset(extents, 0, len * sizeof extents[0]);
+    extents = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, len * sizeof extents[0]);
     extents[0] = 1;         /* So that the increasing sequence test will fail
                                if the extents array is untouched.  */
     GetTextExtentExPointW(hdc, wt, len, 32767, &fit1, extents, &sz1);
diff --git a/dlls/imm32/imm.c b/dlls/imm32/imm.c
index 0aa28f0a8f1..bc3f7a9f10a 100644
--- a/dlls/imm32/imm.c
+++ b/dlls/imm32/imm.c
@@ -313,8 +313,7 @@ HIMC WINAPI ImmCreateContext(void)
 {
     InputContextData *new_context;
 
-    new_context = HeapAlloc(GetProcessHeap(),0,sizeof(InputContextData));
-    ZeroMemory(new_context,sizeof(InputContextData));
+    new_context = HeapAlloc(GetProcessHeap(),HEAP_ZERO_MEMORY,sizeof(InputContextData));
 
     return (HIMC)new_context;
 }
diff --git a/dlls/msvfw32/msvideo_main.c b/dlls/msvfw32/msvideo_main.c
index 76516879f55..1361d30bd22 100644
--- a/dlls/msvfw32/msvideo_main.c
+++ b/dlls/msvfw32/msvideo_main.c
@@ -1294,10 +1294,9 @@ HANDLE VFWAPI ICImageDecompress(
 		cbHdr = ICDecompressGetFormatSize(hic,lpbiIn);
 		if ( cbHdr < sizeof(BITMAPINFOHEADER) )
 			goto err;
-		pHdr = HeapAlloc(GetProcessHeap(),0,cbHdr+sizeof(RGBQUAD)*256);
+		pHdr = HeapAlloc(GetProcessHeap(),HEAP_ZERO_MEMORY,cbHdr+sizeof(RGBQUAD)*256);
 		if ( pHdr == NULL )
 			goto err;
-		ZeroMemory( pHdr, cbHdr+sizeof(RGBQUAD)*256 );
 		if ( ICDecompressGetFormat( hic, lpbiIn, (BITMAPINFO*)pHdr ) != ICERR_OK )
 			goto err;
 		lpbiOut = (BITMAPINFO*)pHdr;
diff --git a/dlls/ntdll/tests/port.c b/dlls/ntdll/tests/port.c
index c64067d13a2..971591737a7 100644
--- a/dlls/ntdll/tests/port.c
+++ b/dlls/ntdll/tests/port.c
@@ -199,10 +199,9 @@ static DWORD WINAPI test_ports_client(LPVOID arg)
     ok(status == STATUS_SUCCESS, "Expected STATUS_SUCCESS, got %d\n", status);
 
     size = FIELD_OFFSET(LPC_MESSAGE, Data) + MAX_MESSAGE_LEN;
-    LpcMessage = HeapAlloc(GetProcessHeap(), 0, size);
+    LpcMessage = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, size);
     out = HeapAlloc(GetProcessHeap(), 0, size);
 
-    memset(LpcMessage, 0, size);
     LpcMessage->DataSize = lstrlen(REQUEST1) + 1;
     LpcMessage->MessageSize = FIELD_OFFSET(LPC_MESSAGE, Data) + LpcMessage->DataSize;
     lstrcpy((LPSTR)LpcMessage->Data, REQUEST1);
@@ -252,8 +251,7 @@ static void test_ports_server(void)
     if (status != STATUS_SUCCESS) return;
 
     size = FIELD_OFFSET(LPC_MESSAGE, Data) + MAX_MESSAGE_LEN;
-    LpcMessage = HeapAlloc(GetProcessHeap(), 0, size);
-    memset(LpcMessage, 0, size);
+    LpcMessage = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, size);
 
     while (TRUE)
     {
diff --git a/dlls/ole32/storage32.c b/dlls/ole32/storage32.c
index 97f53dfee7e..5b4314ffbf1 100644
--- a/dlls/ole32/storage32.c
+++ b/dlls/ole32/storage32.c
@@ -4223,16 +4223,13 @@ static StorageInternalImpl* StorageInternalImpl_Construct(
   /*
    * Allocate space for the new storage object
    */
-  newStorage = HeapAlloc(GetProcessHeap(), 0, sizeof(StorageInternalImpl));
+  newStorage = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(StorageInternalImpl));
 
   if (newStorage!=0)
   {
-    memset(newStorage, 0, sizeof(StorageInternalImpl));
-
     /*
      * Initialize the stream list
      */
-
     list_init(&newStorage->base.strmHead);
 
     /*
diff --git a/dlls/winex11.drv/xfont.c b/dlls/winex11.drv/xfont.c
index 60bd70da930..b53da7e5518 100644
--- a/dlls/winex11.drv/xfont.c
+++ b/dlls/winex11.drv/xfont.c
@@ -2035,13 +2035,10 @@ static int XFONT_BuildMetrics(char** x_pattern, int res, unsigned x_checksum, in
 	if( !fr ) /* add new family */
 	{
 	    n_ff++;
-	    fr = HeapAlloc(GetProcessHeap(), 0, sizeof(fontResource));
+	    fr = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(fontResource));
 	    if (fr)
 	    {
-		memset(fr, 0, sizeof(fontResource));
-
-		fr->resource = HeapAlloc(GetProcessHeap(), 0, sizeof(LFD));
-		memset(fr->resource, 0, sizeof(LFD));
+		fr->resource = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(LFD));
 
 		TRACE("family: -%s-%s-\n", lfd.foundry, lfd.family );
 		fr->resource->foundry = HeapAlloc(GetProcessHeap(), 0, strlen(lfd.foundry)+1);
diff --git a/dlls/wininet/ftp.c b/dlls/wininet/ftp.c
index 40026fdaafb..604f3834359 100644
--- a/dlls/wininet/ftp.c
+++ b/dlls/wininet/ftp.c
@@ -2673,8 +2673,7 @@ static BOOL FTP_SendData(LPWININETFTPSESSIONW lpwfs, INT nDataSocket, HANDLE hFi
     CHAR *lpszBuffer;
 
     TRACE("\n");
-    lpszBuffer = HeapAlloc(GetProcessHeap(), 0, sizeof(CHAR)*DATA_PACKET_SIZE);
-    memset(lpszBuffer, 0, sizeof(CHAR)*DATA_PACKET_SIZE);
+    lpszBuffer = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(CHAR)*DATA_PACKET_SIZE);
 
     /* Get the size of the file. */
     GetFileInformationByHandle(hFile, &fi);
diff --git a/dlls/wininet/internet.c b/dlls/wininet/internet.c
index 6345a5b8905..3bfa62f4647 100644
--- a/dlls/wininet/internet.c
+++ b/dlls/wininet/internet.c
@@ -467,14 +467,13 @@ HINTERNET WINAPI InternetOpenW(LPCWSTR lpszAgent, DWORD dwAccessType,
     /* Clear any error information */
     INTERNET_SetLastError(0);
 
-    lpwai = HeapAlloc(GetProcessHeap(), 0, sizeof(WININETAPPINFOW));
+    lpwai = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(WININETAPPINFOW));
     if (NULL == lpwai)
     {
         INTERNET_SetLastError(ERROR_OUTOFMEMORY);
 	goto lend;
     }
- 
-    memset(lpwai, 0, sizeof(WININETAPPINFOW));
+
     lpwai->hdr.htype = WH_HINIT;
     lpwai->hdr.dwFlags = dwFlags;
     lpwai->hdr.dwRefCount = 1;
diff --git a/dlls/winspool.drv/info.c b/dlls/winspool.drv/info.c
index 8ecf795fc82..a6d65eaf2c1 100644
--- a/dlls/winspool.drv/info.c
+++ b/dlls/winspool.drv/info.c
@@ -2876,10 +2876,9 @@ HANDLE WINAPI AddPrinterW(LPWSTR pName, DWORD Level, LPBYTE pPrinter)
     }
     if(pi->pDevMode)
         dmW = pi->pDevMode;
-    else 
+    else
     {
-        dmW = HeapAlloc(GetProcessHeap(), 0, size);
-        ZeroMemory(dmW,size);
+        dmW = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, size);
         dmW->dmSize = size;
         if (0>DocumentPropertiesW(0,0,pi->pPrinterName,dmW,NULL,DM_OUT_BUFFER))
         {
diff --git a/programs/oleview/tree.c b/programs/oleview/tree.c
index d776740bf20..348c4f248c4 100644
--- a/programs/oleview/tree.c
+++ b/programs/oleview/tree.c
@@ -41,8 +41,7 @@ static LPARAM CreateITEM_INFO(INT flag, const WCHAR *info, const WCHAR *clsid, c
 {
     ITEM_INFO *reg;
 
-    reg = HeapAlloc(GetProcessHeap(), 0, sizeof(ITEM_INFO));
-    memset(reg, 0, sizeof(ITEM_INFO));
+    reg = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(ITEM_INFO));
 
     reg->cFlag = flag;
     lstrcpyW(reg->info, info);
diff --git a/programs/oleview/typelib.c b/programs/oleview/typelib.c
index baba62874aa..1acdd84d6fb 100644
--- a/programs/oleview/typelib.c
+++ b/programs/oleview/typelib.c
@@ -258,9 +258,8 @@ static TYPELIB_DATA *InitializeTLData(void)
 {
     TYPELIB_DATA *pTLData;
 
-    pTLData = HeapAlloc(GetProcessHeap(), 0, sizeof(TYPELIB_DATA));
+    pTLData = HeapAlloc(GetProcessHeap(), HEAP_ZERO_MEMORY, sizeof(TYPELIB_DATA));
 
-    memset(pTLData, 0, sizeof(TYPELIB_DATA));
     pTLData->idl = HeapAlloc(GetProcessHeap(), 0, sizeof(WCHAR));
     pTLData->idl[0] = '\0';