12538900 has 36 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 4559200.

The previous prime is 12538891. The next prime is 12538909. The reversal of 12538900 is 983521.

12538900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12538891) and next prime (12538909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12538909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4600 + ... + 6799.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^12538900 is an apocalyptic number.

12538900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12538900 is an abundant number, since it is smaller than the sum of its proper divisors (17146700).

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

12538900 is a wasteful number, since it uses less digits than its factorization.

12538900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 12538900 is about 3541.0309233329. The cubic root of 12538900 is about 232.3199361208.

It can be divided in two parts, 1253 and 8900, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 12538900 in words is "twelve million, five hundred thirty-eight thousand, nine hundred".