22112131120 has 160 divisors (see below), whose sum is σ = 53996544000. Its totient is φ = 8410536960.

The previous prime is 22112131109. The next prime is 22112131121. The reversal of 22112131120 is 2113121122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22112131094 and 22112131103.

It is not an unprimeable number, because it can be changed into a prime (22112131121) 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, 61593501 + ... + 61593859.

It is an arithmetic number, because the mean of its divisors is an integer number (337478400).

Almost surely, 2^22112131120 is an apocalyptic number.

22112131120 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 22112131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272000).

22112131120 is an abundant number, since it is smaller than the sum of its proper divisors (31884412880).

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

22112131120 is a wasteful number, since it uses less digits than its factorization.

22112131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22112131120 its reverse (2113121122), we get a palindrome (24225252242).

The spelling of 22112131120 in words is "twenty-two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twenty".