12657152120 has 64 divisors (see below), whose sum is σ = 30339061920. Its totient is φ = 4735770624.

The previous prime is 12657152093. The next prime is 12657152153. The reversal of 12657152120 is 2125175621.

12657152120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53744 + ... + 167936.

Almost surely, 2^12657152120 is an apocalyptic number.

12657152120 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 12657152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169530960).

12657152120 is an abundant number, since it is smaller than the sum of its proper divisors (17681909800).

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

12657152120 is a wasteful number, since it uses less digits than its factorization.

12657152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114384 (or 114380 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 12657152120 in words is "twelve billion, six hundred fifty-seven million, one hundred fifty-two thousand, one hundred twenty".