22111012022112 has 288 divisors, whose sum is σ = 72181203494400. Its totient is φ = 6363727358976.

The previous prime is 22111012022107. The next prime is 22111012022123. The reversal of 22111012022112 is 21122021011122.

22111012022112 is a `hidden beast` number, since 221 + 110 + 120 + 2 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×22111012022112⁴ (a number of 54 digits) contains 4444 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, 3652483 + ... + 7587005.

It is an arithmetic number, because the mean of its divisors is an integer number (250629178800).

Almost surely, 2^{22111012022112} 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 22111012022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36090601747200).

22111012022112 is an abundant number, since it is smaller than the sum of its proper divisors (50070191472288).

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

22111012022112 is a wasteful number, since it uses less digits than its factorization.

22111012022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934650 (or 3934639 counting only the distinct ones).

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

Adding to 22111012022112 its reverse (21122021011122), we get a palindrome (43233033033234).

The spelling of 22111012022112 in words is "twenty-two trillion, one hundred eleven billion, twelve million, twenty-two thousand, one hundred twelve".