22111200211122 has 96 divisors (see below), whose sum is σ = 53677342203264. Its totient is φ = 6519030336000.

The previous prime is 22111200211019. The next prime is 22111200211147.

22111200211122 is a `hidden beast` number, since 2 + 211 + 120 + 0 + 211 + 122 = 666.

22111200211122 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 = 22111200211095 and 22111200211104.

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, 327050122 + ... + 327117722.

It is an arithmetic number, because the mean of its divisors is an integer number (559138981284).

Almost surely, 2^{22111200211122} is an apocalyptic number.

22111200211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111200211122 is an abundant number, since it is smaller than the sum of its proper divisors (31566141992142).

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

22111200211122 is a wasteful number, since it uses less digits than its factorization.

22111200211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112304 (or 112301 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, 22111200 and 211122, that added together give a palindrome (22322322).

The spelling of 22111200211122 in words is "twenty-two trillion, one hundred eleven billion, two hundred million, two hundred eleven thousand, one hundred twenty-two".