12292904 has 48 divisors (see below), whose sum is σ = 26432700. Its totient is φ = 5326848.

The previous prime is 12292877. The next prime is 12292913. The reversal of 12292904 is 40929221.

12292904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10048900 + 2244004 = 3170^2 + 1498^2 .

It is a super-2 number, since 2×12292904² = 302230977506432, which contains 22 as substring.

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, 29852 + ... + 30260.

Almost surely, 2^12292904 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 12292904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216350).

12292904 is an abundant number, since it is smaller than the sum of its proper divisors (14139796).

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

12292904 is a wasteful number, since it uses less digits than its factorization.

12292904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12292904 is about 3506.1237856071. The cubic root of 12292904 is about 230.7906250478.

The spelling of 12292904 in words is "twelve million, two hundred ninety-two thousand, nine hundred four".