12312714736224 has 1728 divisors, whose sum is σ = 46769942419200. Its totient is φ = 3164315922432.

The previous prime is 12312714736171. The next prime is 12312714736241. The reversal of 12312714736224 is 42263741721321.

It is a happy number.

12312714736224 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 7 + 14 + 7 + 3 + 622 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12312714736224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11517973962 + ... + 11517975030.

It is an arithmetic number, because the mean of its divisors is an integer number (27065938900).

Almost surely, 2^{12312714736224} is an apocalyptic number.

12312714736224 is a gapful number since it is divisible by the number (14) 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 12312714736224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384971209600).

12312714736224 is an abundant number, since it is smaller than the sum of its proper divisors (34457227682976).

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

12312714736224 is a wasteful number, since it uses less digits than its factorization.

12312714736224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1180 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 12312714736224 in words is "twelve trillion, three hundred twelve billion, seven hundred fourteen million, seven hundred thirty-six thousand, two hundred twenty-four".