12331296 has 72 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 4018560.

The previous prime is 12331237. The next prime is 12331301. The reversal of 12331296 is 69213321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12331296² = 304121722079232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 13081 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^12331296 is an apocalyptic number.

12331296 is a gapful number since it is divisible by the number (16) 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 12331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

12331296 is an abundant number, since it is smaller than the sum of its proper divisors (23521248).

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

12331296 is a wasteful number, since it uses less digits than its factorization.

12331296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 963 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12331296 is about 3511.5945096209. The cubic root of 12331296 is about 231.0306362920.

The spelling of 12331296 in words is "twelve million, three hundred thirty-one thousand, two hundred ninety-six".