22222100122222 has 128 divisors (see below), whose sum is σ = 45241773696000. Its totient is φ = 7905324349440.

The previous prime is 22222100122219. The next prime is 22222100122223.

22222100122222 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 junction number, because it is equal to n+sod(n) for n = 22222100122193 and 22222100122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222100122223) 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 63 ways as a sum of consecutive naturals, for example, 112788348 + ... + 112985200.

It is an arithmetic number, because the mean of its divisors is an integer number (353451357000).

Almost surely, 2^{22222100122222} is an apocalyptic number.

22222100122222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22222100122222 is an abundant number, since it is smaller than the sum of its proper divisors (23019673573778).

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

22222100122222 is a wasteful number, since it uses less digits than its factorization.

22222100122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197498.

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 22222100122222 by its sum of digits (22), we get a palindrome (488886202688884).

It can be divided in two parts, 22222100 and 122222, that added together give a palindrome (22344322).

The spelling of 22222100122222 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-two".