22120402122 has 288 divisors, whose sum is σ = 64373242752. Its totient is φ = 5427088128.

The previous prime is 22120402103. The next prime is 22120402153.

22120402122 is a `hidden beast` number, since 22 + 120 + 402 + 122 = 666.

22120402122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 22120402095 and 22120402104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9756433 + ... + 9758699.

It is an arithmetic number, because the mean of its divisors is an integer number (223518204).

Almost surely, 2^22120402122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120402122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186621376).

22120402122 is an abundant number, since it is smaller than the sum of its proper divisors (42252840630).

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

22120402122 is a wasteful number, since it uses less digits than its factorization.

22120402122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

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

The spelling of 22120402122 in words is "twenty-two billion, one hundred twenty million, four hundred two thousand, one hundred twenty-two".