12585312 has 72 divisors (see below), whose sum is σ = 36265320. Its totient is φ = 4139520.

The previous prime is 12585299. The next prime is 12585329. The reversal of 12585312 is 21358521.

It is a happy number.

12585312 is a `hidden beast` number, since 125 + 8 + 531 + 2 = 666.

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

It is a congruent number.

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, 25387 + ... + 25877.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 2^12585312 is an apocalyptic number.

12585312 is a gapful number since it is divisible by the number (12) 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 12585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132660).

12585312 is an abundant number, since it is smaller than the sum of its proper divisors (23680008).

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

12585312 is a wasteful number, since it uses less digits than its factorization.

12585312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12585312 is about 3547.5783289450. The cubic root of 12585312 is about 232.6062227077.

The spelling of 12585312 in words is "twelve million, five hundred eighty-five thousand, three hundred twelve".