21122021120112 has 240 divisors, whose sum is σ = 67178660290560. Its totient is φ = 6138659865600.

The previous prime is 21122021120023. The next prime is 21122021120173. The reversal of 21122021120112 is 21102112022112.

21122021120112 is a `hidden beast` number, since 21 + 1 + 220 + 211 + 201 + 12 = 666.

It is a super-2 number, since 2×21122021120112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075473 + ... + 6587919.

It is an arithmetic number, because the mean of its divisors is an integer number (279911084544).

Almost surely, 2^{21122021120112} is an apocalyptic number.

21122021120112 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 21122021120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589330145280).

21122021120112 is an abundant number, since it is smaller than the sum of its proper divisors (46056639170448).

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

21122021120112 is a wasteful number, since it uses less digits than its factorization.

21122021120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512572 (or 5512563 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122021120112 its reverse (21102112022112), we get a palindrome (42224133142224).

The spelling of 21122021120112 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty thousand, one hundred twelve".