12312972 has 120 divisors (see below), whose sum is σ = 37810080. Its totient is φ = 3421440.

The previous prime is 12312959. The next prime is 12312973. The reversal of 12312972 is 27921321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12312973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138304 + ... + 138392.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 2^12312972 is an apocalyptic number.

12312972 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 12312972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040).

12312972 is an abundant number, since it is smaller than the sum of its proper divisors (25497108).

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

12312972 is a wasteful number, since it uses less digits than its factorization.

12312972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

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

The square root of 12312972 is about 3508.9844684752. The cubic root of 12312972 is about 230.9161442974.

It can be divided in two parts, 123129 and 72, that added together give a square (123201 = 351²).

The spelling of 12312972 in words is "twelve million, three hundred twelve thousand, nine hundred seventy-two".