12586912 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 5720832.

The previous prime is 12586901. The next prime is 12586913. The reversal of 12586912 is 21968521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32673 + ... + 33055.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 2^12586912 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 12586912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

12586912 is an abundant number, since it is smaller than the sum of its proper divisors (14508128).

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

12586912 is a wasteful number, since it uses less digits than its factorization.

12586912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 12586912 is about 3547.8038277222. The cubic root of 12586912 is about 232.6160795468.

The spelling of 12586912 in words is "twelve million, five hundred eighty-six thousand, nine hundred twelve".