12981312 has 84 divisors (see below), whose sum is σ = 38461696. Its totient is φ = 4181760.

The previous prime is 12981307. The next prime is 12981329. The reversal of 12981312 is 21318921.

It is a super-2 number, since 2×12981312² = 337028922482688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17493 + ... + 18219.

Almost surely, 2^12981312 is an apocalyptic number.

12981312 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 12981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230848).

12981312 is an abundant number, since it is smaller than the sum of its proper divisors (25480384).

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

12981312 is a wasteful number, since it uses less digits than its factorization.

12981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 12981312 is about 3602.9587841106. The cubic root of 12981312 is about 235.0207436042.

The spelling of 12981312 in words is "twelve million, nine hundred eighty-one thousand, three hundred twelve".