21122011022112 has 576 divisors, whose sum is σ = 81668623196160. Its totient is φ = 5000109004800.

The previous prime is 21122011022089. The next prime is 21122011022113.

21122011022112 is a `hidden beast` number, since 211 + 220 + 1 + 1 + 0 + 221 + 12 = 666.

21122011022112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122011022112² (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 not an unprimeable number, because it can be changed into a prime (21122011022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22311037 + ... + 23238467.

It is an arithmetic number, because the mean of its divisors is an integer number (141785804160).

Almost surely, 2^{21122011022112} is an apocalyptic number.

21122011022112 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 21122011022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40834311598080).

21122011022112 is an abundant number, since it is smaller than the sum of its proper divisors (60546612174048).

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

21122011022112 is a wasteful number, since it uses less digits than its factorization.

21122011022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927557 (or 927546 counting only the distinct ones).

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

It can be divided in two parts, 2112201 and 1022112, that added together give a palindrome (3134313).

The spelling of 21122011022112 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, twenty-two thousand, one hundred twelve".