12312144758760 has 1536 divisors, whose sum is σ = 49220363059200. Its totient is φ = 2392346880000.

The previous prime is 12312144758741. The next prime is 12312144758761. The reversal of 12312144758760 is 6785744121321.

It is a super-2 number, since 2×12312144758760² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12312144758761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37196811795 + ... + 37196812125.

It is an arithmetic number, because the mean of its divisors is an integer number (32044507200).

Almost surely, 2^{12312144758760} is an apocalyptic number.

12312144758760 is a gapful number since it is divisible by the number (10) 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 12312144758760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610181529600).

12312144758760 is an abundant number, since it is smaller than the sum of its proper divisors (36908218300440).

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

12312144758760 is a wasteful number, since it uses less digits than its factorization.

12312144758760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 12312144758760 in words is "twelve trillion, three hundred twelve billion, one hundred forty-four million, seven hundred fifty-eight thousand, seven hundred sixty".