22135344353122 has 128 divisors (see below), whose sum is σ = 45153373224960. Its totient is φ = 7858463408640.

The previous prime is 22135344353069. The next prime is 22135344353147.

22135344353122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22135344353122² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085428158 + ... + 1085448550.

It is an arithmetic number, because the mean of its divisors is an integer number (352760728320).

Almost surely, 2^{22135344353122} is an apocalyptic number.

22135344353122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22135344353122 is an abundant number, since it is smaller than the sum of its proper divisors (23018028871838).

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

22135344353122 is a wasteful number, since it uses less digits than its factorization.

22135344353122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27368.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 2213534 and 4353122, that added together give a palindrome (6566656).

The spelling of 22135344353122 in words is "twenty-two trillion, one hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, one hundred twenty-two".