Zeller, the only unanimous selection, ranks fifth in scoring (16.3) and second in rebounding (9.3). Henson leads the league with averages of 10.3 rebounds and three blocks. Barnes is third in scoring, averaging 17.4 points.
North Carolina is the second team in league history with three first-teamers and first since Duke in 2002.
Rivers is the seventh freshman to make the first team and first since Tyler Hansbrough in 2006.
Scott made a league-best 57.3 percent of his shots.
The Tar Heels beat Duke over the weekend to claim the regular-season crown and the No. 1 seed for the league tournament that begins Thursday in Atlanta.