22122123120 has 480 divisors, whose sum is σ = 82730419200. Its totient is φ = 5269118976.

The previous prime is 22122123091. The next prime is 22122123193. The reversal of 22122123120 is 2132122122.

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 = 22122123093 and 22122123102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 50391861 + ... + 50392299.

It is an arithmetic number, because the mean of its divisors is an integer number (172355040).

Almost surely, 2^22122123120 is an apocalyptic number.

22122123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41365209600).

22122123120 is an abundant number, since it is smaller than the sum of its proper divisors (60608296080).

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

22122123120 is a wasteful number, since it uses less digits than its factorization.

22122123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22122123120 its reverse (2132122122), we get a palindrome (24254245242).

The spelling of 22122123120 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".