12457152 has 112 divisors (see below), whose sum is σ = 37490400. Its totient is φ = 4105728.

The previous prime is 12457127. The next prime is 12457157. The reversal of 12457152 is 25175421.

It is a super-2 number, since 2×12457152² = 310361271902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12457157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139924 + ... + 140012.

Almost surely, 2^12457152 is an apocalyptic number.

12457152 is a gapful number since it is divisible by the number (12) 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 12457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745200).

12457152 is an abundant number, since it is smaller than the sum of its proper divisors (25033248).

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

12457152 is an frugal number, since it uses more digits than its factorization.

12457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 12457152 is about 3529.4690818875. The cubic root of 12457152 is about 231.8139610430.

The spelling of 12457152 in words is "twelve million, four hundred fifty-seven thousand, one hundred fifty-two".