22113300331122 has 256 divisors, whose sum is σ = 62283671912448. Its totient is φ = 5048836116480.

The previous prime is 22113300331117. The next prime is 22113300331151.

22113300331122 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22113300331092 and 22113300331101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9385818 + ... + 11503050.

It is an arithmetic number, because the mean of its divisors is an integer number (243295593408).

Almost surely, 2^{22113300331122} is an apocalyptic number.

22113300331122 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 22113300331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31141835956224).

22113300331122 is an abundant number, since it is smaller than the sum of its proper divisors (40170371581326).

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

22113300331122 is a wasteful number, since it uses less digits than its factorization.

22113300331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117353.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 22113300 and 331122, that added together give a palindrome (22444422).

The spelling of 22113300331122 in words is "twenty-two trillion, one hundred thirteen billion, three hundred million, three hundred thirty-one thousand, one hundred twenty-two".