22112122121122 has 16 divisors (see below), whose sum is σ = 36193437846144. Its totient is φ = 10048196466000.

The previous prime is 22112122121107. The next prime is 22112122121129.

22112122121122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22112122121093 and 22112122121102.

It is not an unprimeable number, because it can be changed into a prime (22112122121129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138325029 + ... + 138484792.

It is an arithmetic number, because the mean of its divisors is an integer number (2262089865384).

Almost surely, 2^{22112122121122} is an apocalyptic number.

22112122121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112122121122 is a deficient number, since it is larger than the sum of its proper divisors (14081315725022).

22112122121122 is a wasteful number, since it uses less digits than its factorization.

22112122121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276813465.

The product of its digits is 256, while the sum is 22.

Multiplying 22112122121122 by its sum of digits (22), we get a palindrome (486466686664684).

It can be divided in two parts, 2211212 and 2121122, that added together give a palindrome (4332334).

The spelling of 22112122121122 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".