21112020112000 has 256 divisors, whose sum is σ = 55590346824480. Its totient is φ = 7946202316800.

The previous prime is 21112020111967. The next prime is 21112020112013. The reversal of 21112020112000 is 21102021112.

It can be written as a sum of positive squares in 16 ways, for example, as 12990528576 + 21099029583424 = 113976^2 + 4593368^2 .

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, 1903178454 + ... + 1903189546.

Almost surely, 2^{21112020112000} is an apocalyptic number.

21112020112000 is a gapful number since it is divisible by the number (20) 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 21112020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27795173412240).

21112020112000 is an abundant number, since it is smaller than the sum of its proper divisors (34478326712480).

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

21112020112000 is a wasteful number, since it uses less digits than its factorization.

21112020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136 (or 18114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21112020112000 its reverse (21102021112), we get a palindrome (21133122133112).

The spelling of 21112020112000 in words is "twenty-one trillion, one hundred twelve billion, twenty million, one hundred twelve thousand".