22000111110120 has 512 divisors, whose sum is σ = 79953954232320. Its totient is φ = 4772001361920.

The previous prime is 22000111110113. The next prime is 22000111110181. The reversal of 22000111110120 is 2101111100022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22000111110096 and 22000111110105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75341119 + ... + 75632561.

It is an arithmetic number, because the mean of its divisors is an integer number (156160066860).

Almost surely, 2^{22000111110120} is an apocalyptic number.

22000111110120 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 22000111110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39976977116160).

22000111110120 is an abundant number, since it is smaller than the sum of its proper divisors (57953843122200).

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

22000111110120 is a wasteful number, since it uses less digits than its factorization.

22000111110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291617 (or 291613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22000111110120 its reverse (2101111100022), we get a palindrome (24101222210142).

The spelling of 22000111110120 in words is "twenty-two trillion, one hundred eleven million, one hundred ten thousand, one hundred twenty".