The official Times Square Ball app has just been updated to help you count down to 2013. Not everyone has a chance to be in Times Square for the new year, but at least with this app everyone can (assuming device compatibility) get part of the experience. It's not the smoothest or flashiest thing ever, but the app serves its purpose. You get a nice countdown to the new year, a livestream viewer of Times Square (you can watch the 2012 party currently) and you can even upload a photo to be shown on the big screen if you're lucky.
Sound interesting? You can grab a download for free at the Play Store link above. It probably doesn't do you much good over 10 days out from the party, but you'll have it installed and ready to go for New Years Eve.