22111233211122 has 64 divisors (see below), whose sum is σ = 48828110252544. Its totient is φ = 6619079255040.

The previous prime is 22111233211073. The next prime is 22111233211129.

22111233211122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22111233211122² (a number of 27 digits) contains 22 as substring.

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 = 22111233211092 and 22111233211101.

It is not an unprimeable number, because it can be changed into a prime (22111233211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66100533 + ... + 66434199.

It is an arithmetic number, because the mean of its divisors is an integer number (762939222696).

Almost surely, 2^{22111233211122} is an apocalyptic number.

22111233211122 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 22111233211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414055126272).

22111233211122 is an abundant number, since it is smaller than the sum of its proper divisors (26716877041422).

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

22111233211122 is a wasteful number, since it uses less digits than its factorization.

22111233211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345863.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2211123 and 3211122, that added together give a palindrome (5422245).

The spelling of 22111233211122 in words is "twenty-two trillion, one hundred eleven billion, two hundred thirty-three million, two hundred eleven thousand, one hundred twenty-two".