22132112331120 has 640 divisors, whose sum is σ = 78025006080000. Its totient is φ = 5140531630080.

The previous prime is 22132112331041. The next prime is 22132112331127. The reversal of 22132112331120 is 2113321123122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132112331127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6383647627 + ... + 6383651093.

It is an arithmetic number, because the mean of its divisors is an integer number (121914072000).

Almost surely, 2^{22132112331120} is an apocalyptic number.

22132112331120 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 22132112331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012503040000).

22132112331120 is an abundant number, since it is smaller than the sum of its proper divisors (55892893748880).

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

22132112331120 is a wasteful number, since it uses less digits than its factorization.

22132112331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22132112331120 its reverse (2113321123122), we get a palindrome (24245433454242).

The spelling of 22132112331120 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand, one hundred twenty".