22013303331120 has 160 divisors (see below), whose sum is σ = 68556577098240. Its totient is φ = 5843148380160.

The previous prime is 22013303331109. The next prime is 22013303331121. The reversal of 22013303331120 is 2113330331022.

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

It is not an unprimeable number, because it can be changed into a prime (22013303331121) 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, 46895980 + ... + 47363060.

It is an arithmetic number, because the mean of its divisors is an integer number (428478606864).

Almost surely, 2^{22013303331120} is an apocalyptic number.

22013303331120 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 22013303331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34278288549120).

22013303331120 is an abundant number, since it is smaller than the sum of its proper divisors (46543273767120).

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

22013303331120 is a wasteful number, since it uses less digits than its factorization.

22013303331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468003 (or 467997 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 22013303331120 its reverse (2113330331022), we get a palindrome (24126633662142).

The spelling of 22013303331120 in words is "twenty-two trillion, thirteen billion, three hundred three million, three hundred thirty-one thousand, one hundred twenty".