21012159315312 has 240 divisors, whose sum is σ = 66951763527168. Its totient is φ = 6089403640320.

The previous prime is 21012159315311. The next prime is 21012159315317. The reversal of 21012159315312 is 21351395121012.

21012159315312 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 1 + 593 + 1 + 53 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012159315311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218799018 + ... + 218895030.

Almost surely, 2^{21012159315312} is an apocalyptic number.

21012159315312 is a gapful number since it is divisible by the number (22) 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 21012159315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33475881763584).

21012159315312 is an abundant number, since it is smaller than the sum of its proper divisors (45939604211856).

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

21012159315312 is a wasteful number, since it uses less digits than its factorization.

21012159315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102068 (or 102059 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 21012159315312 in words is "twenty-one trillion, twelve billion, one hundred fifty-nine million, three hundred fifteen thousand, three hundred twelve".