22114444441122 has 96 divisors (see below), whose sum is σ = 52706639643840. Its totient is φ = 6645542175360.

The previous prime is 22114444441109. The next prime is 22114444441129.

22114444441122 is a `hidden beast` number, since 2 + 2 + 11 + 44 + 44 + 441 + 122 = 666.

22114444441122 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22114444441129) 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 47 ways as a sum of consecutive naturals, for example, 23678688 + ... + 24594900.

It is an arithmetic number, because the mean of its divisors is an integer number (549027496290).

Almost surely, 2^{22114444441122} is an apocalyptic number.

22114444441122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114444441122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26353319821920).

22114444441122 is an abundant number, since it is smaller than the sum of its proper divisors (30592195202718).

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

22114444441122 is a wasteful number, since it uses less digits than its factorization.

22114444441122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917248 (or 917245 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 2211444 and 4441122, that added together give a palindrome (6652566).

The spelling of 22114444441122 in words is "twenty-two trillion, one hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, one hundred twenty-two".