Apologies if this isn't the place for this question, but I didn't see a suitable forum.
Is this game compatible with mobile phones? If yes, any make/model recommendations?
As far as I know, the game can be played on any device supporting Adobe Flash Player. You can check devices compatible with Adobe Flash Player on the Adobe's official website (just search it).
Of course, Internet connectivity can be an issue while playing through mobile devices, but why expect more? You can always check the market or read forums.