12912960 has 56 divisors (see below), whose sum is σ = 41001696. Its totient is φ = 3443200.

The previous prime is 12912953. The next prime is 12912967. The reversal of 12912960 is 6921921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12912953) and next prime (12912967).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12912967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5766 + ... + 7685.

Almost surely, 2^12912960 is an apocalyptic number.

12912960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12912960 is an abundant number, since it is smaller than the sum of its proper divisors (28088736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12912960 is a wasteful number, since it uses less digits than its factorization.

12912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 12912960 is about 3593.4607274882. The cubic root of 12912960 is about 234.6075235481.

The spelling of 12912960 in words is "twelve million, nine hundred twelve thousand, nine hundred sixty".