12312564 has 48 divisors (see below), whose sum is σ = 32200896. Its totient is φ = 3628800.

The previous prime is 12312557. The next prime is 12312571. The reversal of 12312564 is 46521321.

It is an interprime number because it is at equal distance from previous prime (12312557) and next prime (12312571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3624 + ... + 6144.

It is an arithmetic number, because the mean of its divisors is an integer number (670852).

Almost surely, 2^12312564 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 12312564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100448).

12312564 is an abundant number, since it is smaller than the sum of its proper divisors (19888332).

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

12312564 is a wasteful number, since it uses less digits than its factorization.

12312564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2574 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 12312564 is about 3508.9263315151. The cubic root of 12312564 is about 230.9135937400.

Adding to 12312564 its reverse (46521321), we get a palindrome (58833885).

The spelling of 12312564 in words is "twelve million, three hundred twelve thousand, five hundred sixty-four".