12916512 has 144 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3580416.

The previous prime is 12916511. The next prime is 12916529. The reversal of 12916512 is 21561921.

12916512 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12916512² = 333672564492288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12916511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86614 + ... + 86762.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^12916512 is an apocalyptic number.

12916512 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 12916512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

12916512 is an abundant number, since it is smaller than the sum of its proper divisors (30326688).

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

12916512 is a wasteful number, since it uses less digits than its factorization.

12916512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12916512 is about 3593.9549245921. The cubic root of 12916512 is about 234.6290329342.

It can be divided in two parts, 129 and 16512, that added together give a square (16641 = 129²).

The spelling of 12916512 in words is "twelve million, nine hundred sixteen thousand, five hundred twelve".