22122222100128 has 240 divisors, whose sum is σ = 67468969953000. Its totient is φ = 7102377934848.

The previous prime is 22122222100049. The next prime is 22122222100129. The reversal of 22122222100128 is 82100122222122.

22122222100128 is a `hidden beast` number, since 2 + 212 + 2 + 222 + 100 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20638376530704 + 1483845569424 = 4542948^2 + 1218132^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22122222100129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30383928 + ... + 31103496.

Almost surely, 2^{22122222100128} 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 22122222100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33734484976500).

22122222100128 is an abundant number, since it is smaller than the sum of its proper divisors (45346747852872).

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

22122222100128 is a wasteful number, since it uses less digits than its factorization.

22122222100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720029 (or 720012 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 22122222100128 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-eight".