12512640 has 256 divisors, whose sum is σ = 48960000. Its totient is φ = 2709504.

The previous prime is 12512639. The next prime is 12512651. The reversal of 12512640 is 4621521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658551 + ... + 658569.

It is an arithmetic number, because the mean of its divisors is an integer number (191250).

Almost surely, 2^12512640 is an apocalyptic number.

12512640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480000).

12512640 is an abundant number, since it is smaller than the sum of its proper divisors (36447360).

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

12512640 is an equidigital number, since it uses as much as digits as its factorization.

12512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12512640 is about 3537.3210202072. The cubic root of 12512640 is about 232.1576415718.

The spelling of 12512640 in words is "twelve million, five hundred twelve thousand, six hundred forty".