12513900 has 144 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 2784000.

The previous prime is 12513889. The next prime is 12513901. The reversal of 12513900 is 931521.

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

It is not an unprimeable number, because it can be changed into a prime (12513901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123850 + ... + 123950.

It is an arithmetic number, because the mean of its divisors is an integer number (295120).

Almost surely, 2^12513900 is an apocalyptic number.

12513900 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 12513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

12513900 is an abundant number, since it is smaller than the sum of its proper divisors (29983380).

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

12513900 is a wasteful number, since it uses less digits than its factorization.

12513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 12513900 is about 3537.4991166077. The cubic root of 12513900 is about 232.1654339271.

It can be divided in two parts, 1251 and 3900, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 12513900 in words is "twelve million, five hundred thirteen thousand, nine hundred".