12137312 has 72 divisors (see below), whose sum is σ = 27655992. Its totient is φ = 5196800.

The previous prime is 12137299. The next prime is 12137347. The reversal of 12137312 is 21373121.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296012 + ... + 296052.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^12137312 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 12137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827996).

12137312 is an abundant number, since it is smaller than the sum of its proper divisors (15518680).

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

12137312 is a wasteful number, since it uses less digits than its factorization.

12137312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 12137312 is about 3483.8645209020. The cubic root of 12137312 is about 229.8127776972.

The spelling of 12137312 in words is "twelve million, one hundred thirty-seven thousand, three hundred twelve".