Scoring zero runs while getting double digits in hits in a 9-inning game isn't that unusual. The Angels did it last year on June 5 when they lost to Tampa Bay, 4-0, and got 11 hits.
The most hits allowed in a 9-inning shutout is 14 and it was done by Larry Cheney of the Cubs in 1913 and Milt Gaston of the Senators in 1928.
The Angels had 11 baserunners (Mike Napoli walked). They grounded into two double plays, were caught stealing twice, and Reggie Willits was thrown out trying to advance on a pitch in the dirt, so they left just six men on base.