22133331120 has 160 divisors (see below), whose sum is σ = 69745536000. Its totient is φ = 5805463552.

The previous prime is 22133331109. The next prime is 22133331161. The reversal of 22133331120 is 2113333122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4758556 + ... + 4763204.

It is an arithmetic number, because the mean of its divisors is an integer number (435909600).

Almost surely, 2^22133331120 is an apocalyptic number.

22133331120 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 22133331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872768000).

22133331120 is an abundant number, since it is smaller than the sum of its proper divisors (47612204880).

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

22133331120 is a wasteful number, since it uses less digits than its factorization.

22133331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22133331120 its reverse (2113333122), we get a palindrome (24246664242).

It can be divided in two parts, 2213 and 3331120, that added together give a palindrome (3333333).

The spelling of 22133331120 in words is "twenty-two billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty".