22120128 has 140 divisors (see below), whose sum is σ = 69704712. Its totient is φ = 6912000.

The previous prime is 22120099. The next prime is 22120151. The reversal of 22120128 is 82102122.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22120128.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88003 + ... + 88253.

Almost surely, 2^22120128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34852356).

22120128 is an abundant number, since it is smaller than the sum of its proper divisors (47584584).

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

22120128 is a wasteful number, since it uses less digits than its factorization.

22120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22120128 is about 4703.2040142864. The cubic root of 22120128 is about 280.7130127224.

The spelling of 22120128 in words is "twenty-two million, one hundred twenty thousand, one hundred twenty-eight".