122210122120120 has 256 divisors, whose sum is σ = 294022029600000. Its totient is φ = 45616091136000.

The previous prime is 122210122120091. The next prime is 122210122120199. The reversal of 122210122120120 is 21021221012221.

It is a super-2 number, since 2×122210122120120² (a number of 29 digits) contains 22 as substring.

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, 5861667456 + ... + 5861688304.

It is an arithmetic number, because the mean of its divisors is an integer number (1148523553125).

Almost surely, 2^{122210122120120} is an apocalyptic number.

122210122120120 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 122210122120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147011014800000).

122210122120120 is an abundant number, since it is smaller than the sum of its proper divisors (171811907479880).

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

122210122120120 is a wasteful number, since it uses less digits than its factorization.

122210122120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21794 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122210122120120 its reverse (21021221012221), we get a palindrome (143231343132341).

The spelling of 122210122120120 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".