22113111312 has 120 divisors (see below), whose sum is σ = 63081944640. Its totient is φ = 7229671680.

The previous prime is 22113111287. The next prime is 22113111331. The reversal of 22113111312 is 21311131122.

22113111312 is a `hidden beast` number, since 221 + 1 + 311 + 131 + 2 = 666.

It is a super-2 number, since 2×22113111312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008639 + ... + 2019617.

It is an arithmetic number, because the mean of its divisors is an integer number (525682872).

Almost surely, 2^22113111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540972320).

22113111312 is an abundant number, since it is smaller than the sum of its proper divisors (40968833328).

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

22113111312 is a wasteful number, since it uses less digits than its factorization.

22113111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11252 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 22113111312 its reverse (21311131122), we get a palindrome (43424242434).

The spelling of 22113111312 in words is "twenty-two billion, one hundred thirteen million, one hundred eleven thousand, three hundred twelve".