All the flaws affect Windows XP and Vista systems. Eight of the vulnerabilities also affect the Mac OS X version of QuickTime.
Five remote code execution flaws could be exploited by way of specially-crafted movie files.
Such files could also be used to execute another flaw which allows for the launching of external URLs, which Apple said could allow for information disclosure.
Three of the flaws could be exploited by way of Pict files and used by an attacker for remote code execution.
The remaining two flaws include a remote code execution flaw in the handling of QuickTime VR files and a flaw which could allow Java applets to obtain elevated privileges.
The QuickTime update can be obtained via Apple's Software Update utility or at the Apple Downloads site.