22122111122122 has 8 divisors (see below), whose sum is σ = 36199818199872. Its totient is φ = 10055505055500.

The previous prime is 22122111122107. The next prime is 22122111122147.

22122111122122 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 1005550505551 = 22122111122122 / (2 + 2 + 1 + 2 + 2 + 1 + 1 + 1 + 1 + 2 + 2 + 1 + 2 + 2).

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 = 22122111122093 and 22122111122102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502775252754 + ... + 502775252797.

It is an arithmetic number, because the mean of its divisors is an integer number (4524977274984).

Almost surely, 2^{22122111122122} is an apocalyptic number.

22122111122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22122111122122 is a deficient number, since it is larger than the sum of its proper divisors (14077707077750).

22122111122122 is a wasteful number, since it uses less digits than its factorization.

22122111122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005550505564.

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

Multiplying 22122111122122 by its sum of digits (22), we get a palindrome (486686444686684).

It can be divided in two parts, 2212211 and 1122122, that added together give a palindrome (3334333).

The spelling of 22122111122122 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-two".