22122000120 has 128 divisors (see below), whose sum is σ = 72920736000. Its totient is φ = 5324282880.

The previous prime is 22122000119. The next prime is 22122000161. The reversal of 22122000120 is 2100022122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22122000096 and 22122000105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123196 + ... + 243764.

It is an arithmetic number, because the mean of its divisors is an integer number (569693250).

Almost surely, 2^22122000120 is an apocalyptic number.

22122000120 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 22122000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460368000).

22122000120 is an abundant number, since it is smaller than the sum of its proper divisors (50798735880).

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

22122000120 is a wasteful number, since it uses less digits than its factorization.

22122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120733 (or 120729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22122000120 its reverse (2100022122), we get a palindrome (24222022242).

The spelling of 22122000120 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.