12892900 has 36 divisors (see below), whose sum is σ = 28887040. Its totient is φ = 4989600.

The previous prime is 12892897. The next prime is 12892921. The reversal of 12892900 is 929821.

12892900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 5179.

Almost surely, 2^12892900 is an apocalyptic number.

12892900 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 12892900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443520).

12892900 is an abundant number, since it is smaller than the sum of its proper divisors (15994140).

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

12892900 is a wasteful number, since it uses less digits than its factorization.

12892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 12892900 is about 3590.6684614428. The cubic root of 12892900 is about 234.4859747053.

The spelling of 12892900 in words is "twelve million, eight hundred ninety-two thousand, nine hundred".