12957520 has 20 divisors (see below), whose sum is σ = 30126420. Its totient is φ = 5182976.

The previous prime is 12957509. The next prime is 12957541. The reversal of 12957520 is 2575921.

12957520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 9659664 = 1816^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80905 + ... + 81064.

It is an arithmetic number, because the mean of its divisors is an integer number (1506321).

Almost surely, 2^12957520 is an apocalyptic number.

12957520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12957520 is an abundant number, since it is smaller than the sum of its proper divisors (17168900).

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

12957520 is a wasteful number, since it uses less digits than its factorization.

12957520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161982 (or 161976 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 12957520 is about 3599.6555390759. The cubic root of 12957520 is about 234.8770746876.

The spelling of 12957520 in words is "twelve million, nine hundred fifty-seven thousand, five hundred twenty".