12292320 has 48 divisors (see below), whose sum is σ = 38722320. Its totient is φ = 3277824.

The previous prime is 12292307. The next prime is 12292331. The reversal of 12292320 is 2329221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12292320² = 302202261964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12325 + ... + 13284.

It is an arithmetic number, because the mean of its divisors is an integer number (806715).

Almost surely, 2^12292320 is an apocalyptic number.

12292320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12292320 is an abundant number, since it is smaller than the sum of its proper divisors (26430000).

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

12292320 is a wasteful number, since it uses less digits than its factorization.

12292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25627 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12292320 is about 3506.0405017626. The cubic root of 12292320 is about 230.7869702602.

The spelling of 12292320 in words is "twelve million, two hundred ninety-two thousand, three hundred twenty".