22111022011122 has 48 divisors (see below), whose sum is σ = 52371523226880. Its totient is φ = 6686321551200.

The previous prime is 22111022011121. The next prime is 22111022011157.

22111022011122 is a `hidden beast` number, since 221 + 110 + 220 + 1 + 112 + 2 = 666.

22111022011122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 22111022011095 and 22111022011104.

It is not an unprimeable number, because it can be changed into a prime (22111022011121) 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 23 ways as a sum of consecutive naturals, for example, 116472829 + ... + 116662512.

It is an arithmetic number, because the mean of its divisors is an integer number (1091073400560).

Almost surely, 2^{22111022011122} is an apocalyptic number.

22111022011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111022011122 is an abundant number, since it is smaller than the sum of its proper divisors (30260501215758).

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

22111022011122 is a wasteful number, since it uses less digits than its factorization.

22111022011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233135839 (or 233135836 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, 2211102 and 2011122, that added together give a palindrome (4222224).

The spelling of 22111022011122 in words is "twenty-two trillion, one hundred eleven billion, twenty-two million, eleven thousand, one hundred twenty-two".