12312960 has 192 divisors, whose sum is σ = 43953840. Its totient is φ = 2928640.

The previous prime is 12312959. The next prime is 12312973. The reversal of 12312960 is 6921321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12312960.

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 23 ways as a sum of consecutive naturals, for example, 232294 + ... + 232346.

Almost surely, 2^12312960 is an apocalyptic number.

12312960 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 12312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920).

12312960 is an abundant number, since it is smaller than the sum of its proper divisors (31640880).

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

12312960 is a wasteful number, since it uses less digits than its factorization.

12312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12312960 is about 3508.9827585783. The cubic root of 12312960 is about 230.9160692818.

The spelling of 12312960 in words is "twelve million, three hundred twelve thousand, nine hundred sixty".