12657152 has 40 divisors (see below), whose sum is σ = 25779600. Its totient is φ = 6206464.

The previous prime is 12657131. The next prime is 12657167. The reversal of 12657152 is 25175621.

It is a super-2 number, since 2×12657152² = 320406993502208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29999 + ... + 30417.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^12657152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889800).

12657152 is an abundant number, since it is smaller than the sum of its proper divisors (13122448).

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

12657152 is an frugal number, since it uses more digits than its factorization.

12657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 12657152 is about 3557.6891376285. The cubic root of 12657152 is about 233.0479740594.

The spelling of 12657152 in words is "twelve million, six hundred fifty-seven thousand, one hundred fifty-two".