Jim Irsay's Indiana mansion -- the one featuring a pool, a playground, a putting green and a tennis court -- has just sold ... nearly four months after the Indianapolis Colts owner passed away.
TMZ Sports is told the Carmel property ended up selling on Monday for $11.75 million.

It had been listed by Steve Decatur of The Decatur Group earlier this summer for $12 million.
The place is one-of-a-kind -- it butts up against Crooked Stik Golf Club and has two separate guest homes.