22131400413122 has 32 divisors (see below), whose sum is σ = 44572330905984. Its totient is φ = 7959344803200.

The previous prime is 22131400413061. The next prime is 22131400413127.

It is a happy number.

22131400413122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22131400413091 and 22131400413100.

It is not an unprimeable number, because it can be changed into a prime (22131400413127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527320779 + ... + 5527324782.

It is an arithmetic number, because the mean of its divisors is an integer number (1392885340812).

Almost surely, 2^{22131400413122} is an apocalyptic number.

22131400413122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22131400413122 is an abundant number, since it is smaller than the sum of its proper divisors (22440930492862).

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

22131400413122 is a wasteful number, since it uses less digits than its factorization.

22131400413122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054645594.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 22131400 and 413122, that added together give a palindrome (22544522).

The spelling of 22131400413122 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred million, four hundred thirteen thousand, one hundred twenty-two".