12513920 has 32 divisors (see below), whose sum is σ = 29917620. Its totient is φ = 5005312.

The previous prime is 12513901. The next prime is 12513923. The reversal of 12513920 is 2931521.

12513920 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 12334144 + 179776 = 3512^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12513923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9137 + ... + 10416.

Almost surely, 2^12513920 is an apocalyptic number.

12513920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513920 is an abundant number, since it is smaller than the sum of its proper divisors (17403700).

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

12513920 is an equidigital number, since it uses as much as digits as its factorization.

12513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12513920 is about 3537.5019434624. The cubic root of 12513920 is about 232.1655576111.

The spelling of 12513920 in words is "twelve million, five hundred thirteen thousand, nine hundred twenty".