20121313312992 has 96 divisors (see below), whose sum is σ = 53318073003552. Its totient is φ = 6643731677184.

The previous prime is 20121313312967. The next prime is 20121313312993. The reversal of 20121313312992 is 29921331312102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20121313312992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121313312993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17415438 + ... + 18534834.

It is an arithmetic number, because the mean of its divisors is an integer number (555396593787).

Almost surely, 2^{20121313312992} 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 20121313312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26659036501776).

20121313312992 is an abundant number, since it is smaller than the sum of its proper divisors (33196759690560).

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

20121313312992 is a wasteful number, since it uses less digits than its factorization.

20121313312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121180 (or 1121172 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 20121313312992 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred twelve thousand, nine hundred ninety-two".