22121044012122 has 64 divisors (see below), whose sum is σ = 51969315916800. Its totient is φ = 6202099393280.

The previous prime is 22121044012121. The next prime is 22121044012147.

22121044012122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22121044012092 and 22121044012101.

It is not an unprimeable number, because it can be changed into a prime (22121044012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167016222 + ... + 167148617.

It is an arithmetic number, because the mean of its divisors is an integer number (812020561200).

Almost surely, 2^{22121044012122} is an apocalyptic number.

22121044012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121044012122 is an abundant number, since it is smaller than the sum of its proper divisors (29848271904678).

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

22121044012122 is a wasteful number, since it uses less digits than its factorization.

22121044012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334164931.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2212104 and 4012122, that added together give a palindrome (6224226).

The spelling of 22121044012122 in words is "twenty-two trillion, one hundred twenty-one billion, forty-four million, twelve thousand, one hundred twenty-two".