None. Since the expansion to 16 teams.
University of Kansas
Minnesota has won 9 regular season Big Ten men's basketball regular season championships: 1906, 1907, 1911, 1917, 1919, 1937, 1972, 1982, 1997 Minnesota forfeited the 1997 title due to NCAA sanctions. Minnesota has not won a Big Ten men's basketball tournament.
0 ... they have been Big 10 champs/co-champs 10 times but have not won a national championship.
The Big XII has won 3 national championships.
From 1912, which is when Ohio State joined the Big Ten, they have won 32 Big Ten Championships.
6 big 12 championshipsThe Big 12 had its first season in 1996. Previously Oklahoma was in the Big 8
Nebraska won 29 Big 8 championships (24 outright and 5 as co-champion) and, prior to the 2010 championship game that Nebraska will play in, 2 Big 12 championships.
Oklahoma has won 31 big 12 championships. I'm not sure of the breakdown by sport, however.
a big zero
If you're asking about a team, it's the Celtics at 17 championships, with the Lakers close with 16 championships. However, if you're asking about a player, It's Bill Russel with 11. He's a big reason the Celtics have won that many championship, and The Celtics are a big reason he's won so many championships.
19 total championships
#1 PAC-10, #2 Big-10