12972132 has 18 divisors (see below), whose sum is σ = 32790758. Its totient is φ = 4324032.

The previous prime is 12972131. The next prime is 12972149. The reversal of 12972132 is 23127921.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 1028196 = 3456^2 + 1014^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12972096 and 12972105.

It is not an unprimeable number, because it can be changed into a prime (12972131) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 180133 + ... + 180204.

Almost surely, 2^12972132 is an apocalyptic number.

12972132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12972132 is an abundant number, since it is smaller than the sum of its proper divisors (19818626).

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

12972132 is a wasteful number, since it uses less digits than its factorization.

12972132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360347 (or 360342 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12972132 is about 3601.6846058477. The cubic root of 12972132 is about 234.9653306332.

The spelling of 12972132 in words is "twelve million, nine hundred seventy-two thousand, one hundred thirty-two".