12972480 has 56 divisors (see below), whose sum is σ = 41190672. Its totient is φ = 3459072.

The previous prime is 12972461. The next prime is 12972521. The reversal of 12972480 is 8427921.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5797 + ... + 7716.

Almost surely, 2^12972480 is an apocalyptic number.

12972480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12972480 is an abundant number, since it is smaller than the sum of its proper divisors (28218192).

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

12972480 is a wasteful number, since it uses less digits than its factorization.

12972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12972480 is about 3601.7329162502. The cubic root of 12972480 is about 234.9674317323.

The spelling of 12972480 in words is "twelve million, nine hundred seventy-two thousand, four hundred eighty".