Though its mintage is a bit low for a Philadelphia Mint cent of this decade, 1912(P) is not a scarce coin in Mint State. It seems that the number of such pieces surviving for each date is not affected by mintage until that figure becomes very low, as a certain number of each issue will survive through similar chance circumstances.
Most 1912(P) are reasonably well struck.
Mintage:
Philadelphia | Denver | San Francisco |
68,153,060 | 10,411,000 | 4,431,000 |