22222131111120 has 320 divisors, whose sum is σ = 69745536000000. Its totient is φ = 5852756840448.

The previous prime is 22222131111101. The next prime is 22222131111161. The reversal of 22222131111120 is 2111113122222.

It is a super-2 number, since 2×22222131111120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 4779978556 + ... + 4779983204.

It is an arithmetic number, because the mean of its divisors is an integer number (217954800000).

Almost surely, 2^{22222131111120} is an apocalyptic number.

22222131111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222131111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872768000000).

22222131111120 is an abundant number, since it is smaller than the sum of its proper divisors (47523404888880).

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

22222131111120 is a wasteful number, since it uses less digits than its factorization.

22222131111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 22222131111120 its reverse (2111113122222), we get a palindrome (24333244233342).

It can be divided in two parts, 2222213 and 1111120, that added together give a palindrome (3333333).

The spelling of 22222131111120 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".