22222220112000 has 192 divisors, whose sum is σ = 79805548494360. Its totient is φ = 5925925324800.

The previous prime is 22222220111989. The next prime is 22222220112121. The reversal of 22222220112000 is 21102222222.

22222220112000 is a `hidden beast` number, since 22 + 222 + 220 + 1 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2116466316864 + 20105753795136 = 1454808^2 + 4483944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22222220112000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77016487 + ... + 77304486.

Almost surely, 2^{22222220112000} is an apocalyptic number.

22222220112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222220112000 is an abundant number, since it is smaller than the sum of its proper divisors (57583328382360).

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

22222220112000 is a wasteful number, since it uses less digits than its factorization.

22222220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154321008 (or 154320983 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22222220112000 its reverse (21102222222), we get a palindrome (22243322334222).

The spelling of 22222220112000 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand".