22200002122128 has 80 divisors (see below), whose sum is σ = 57512143749120. Its totient is φ = 7379087985792.

The previous prime is 22200002122121. The next prime is 22200002122139. The reversal of 22200002122128 is 82122120000222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22200002122098 and 22200002122107.

It is not an unprimeable number, because it can be changed into a prime (22200002122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86699793 + ... + 86955471.

It is an arithmetic number, because the mean of its divisors is an integer number (718901796864).

Almost surely, 2^{22200002122128} is an apocalyptic number.

It is an amenable number.

22200002122128 is an abundant number, since it is smaller than the sum of its proper divisors (35312141626992).

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

22200002122128 is a wasteful number, since it uses less digits than its factorization.

22200002122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260796 (or 260790 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 22200002122128 in words is "twenty-two trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred twenty-eight".