20121807508368 has 160 divisors (see below), whose sum is σ = 54550188564480. Its totient is φ = 6379219376640.

The previous prime is 20121807508349. The next prime is 20121807508393. The reversal of 20121807508368 is 86380570812102.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20121807508368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150422698 + ... + 150556406.

It is an arithmetic number, because the mean of its divisors is an integer number (340938678528).

Almost surely, 2^{20121807508368} 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 20121807508368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27275094282240).

20121807508368 is an abundant number, since it is smaller than the sum of its proper divisors (34428381056112).

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

20121807508368 is a wasteful number, since it uses less digits than its factorization.

20121807508368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134517 (or 134511 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 20121807508368 in words is "twenty trillion, one hundred twenty-one billion, eight hundred seven million, five hundred eight thousand, three hundred sixty-eight".