Similar experience. Took 4-6 weeks to get a reply to my application email (I'd actually forgotten about it). 4-6 weeks after that (and a few emails from me chasing it up) Google were able to schedule a phone interview. Interviewer was really friendly, and I was pretty excited. Got an email shortly after saying "great that went well, can we fly you to (nearest Google office)". Replied sure - I'm free anytime. 4 weeks later (and a few emails from me chasing it up) and I find out the recruiter has gone on holiday. Another 4 or so weeks later (and more emails from me chasing it up) and I'm told they are having trouble finding someone to interview me for the in-person. Another 2 weeks later I'm finally told the position was filled, but as a promising candidate I should consider applying for other positions.
The idea of working at Google is interesting, but I don't really have the months to invest in the interview process.