Housepland with lilypad like leaves

This is my new favorite plant! I bought it from a tiny shop in the middle of nowhere and it has grown so well since then. I've never seen anything like it at any greenhouse and the lady didn't know what it was. I just want to know what to call it.

Also, a bunch of babys have been sprouting from the dirt and I was wondering if anybody knows if I can snip them off and root them to make more.

Thanks to anybody with information! Have a super day :)

 

Sorry I probably should have posted this in plant identification. Not sure if it's possible to just move it or if I have to repost

 

I'll move it for you, no worries. Not sure what the plant is, though.

 

Probably, Pilea peperomioides:
http://www.wildchicken.com/nature/garden/nature_200_040.htm

 

Ditto to Pilea peperomioides. Very easy to propagate.

 

Wonderful! Thank you :) Now I can make babies to share with my friends!

**(That could be taken a different direction, lol) **

 

That was my first thought :)