22121011012122 has 48 divisors (see below), whose sum is σ = 53022448964160. Its totient is φ = 6608923473600.

The previous prime is 22121011012091. The next prime is 22121011012159.

22121011012122 is a `hidden beast` number, since 221 + 210 + 110 + 1 + 2 + 122 = 666.

22121011012122 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 = 22121011012095 and 22121011012104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786762547 + ... + 786790662.

It is an arithmetic number, because the mean of its divisors is an integer number (1104634353420).

Almost surely, 2^{22121011012122} is an apocalyptic number.

22121011012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121011012122 is an abundant number, since it is smaller than the sum of its proper divisors (30901437952038).

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

22121011012122 is a wasteful number, since it uses less digits than its factorization.

22121011012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573553299 (or 1573553296 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, 2212101 and 1012122, that added together give a palindrome (3224223).

The spelling of 22121011012122 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred twenty-two".