122200021000120 has 256 divisors, whose sum is σ = 318568496762880. Its totient is φ = 41320342118400.

The previous prime is 122200021000091. The next prime is 122200021000171. The reversal of 122200021000120 is 21000120002221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122200021000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59234134209 + ... + 59234136271.

It is an arithmetic number, because the mean of its divisors is an integer number (1244408190480).

Almost surely, 2^{122200021000120} is an apocalyptic number.

122200021000120 is a gapful number since it is divisible by the number (10) 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 122200021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159284248381440).

122200021000120 is an abundant number, since it is smaller than the sum of its proper divisors (196368475762760).

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

122200021000120 is a wasteful number, since it uses less digits than its factorization.

122200021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122200021000120 its reverse (21000120002221), we get a palindrome (143200141002341).

The spelling of 122200021000120 in words is "one hundred twenty-two trillion, two hundred billion, twenty-one million, one hundred twenty", and thus it is an aban number.