In addition to the launch of iOS 6 today, Apple also rolled out an update for its Mountain Lion OS, which adds Facebook integration, among other things.

With Mac OS X 10.8.2, Facebook is now baked into Apple's OS. Apple announced plans to add Facebook to Mountain Lion earlier this year, but when it launched in late July, only Twitter integration was live. At the time, Apple said Facebook would be added in a later update.

That update rolled out today, and it adds several Facebook-related options, including: single sign-on for Facebook, a Facebook option when sharing links and photos, the ability to see Facebook friends' contact information and profile pictures within Contacts, and Facebook alerts within Apple's Notification Center.

Within Game Center, meanwhile, players can share scores to Facebook, Twitter, Mail, or Messages. Facebook friends are also now included in Game Center friend recommendations, and the Facebook "Like" button is available on games. You can also challenge Facebook friends to beat your high scores.

Other updates include:

• Power Nap for the late 2010 MacBook Air
• A new shared Reminders list
• Sort notes by title, date edited, and when they were created
• New language support in Dictation: Mandarin, Cantonese, Spanish, Korean, Canadian English, Canadian French, and Italian
• With iOS 6, iMessages sent to your phone number appear in Messages on your Mac
• Also on iOS 6, add passes to Passbook on the iPhone or iPod touch from Safari and Mail on the Mac
• FaceTime can receive calls sent to your phone number

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