122211011210120 has 256 divisors, whose sum is σ = 341608784140800. Its totient is φ = 38396710010880.

The previous prime is 122211011210053. The next prime is 122211011210159. The reversal of 122211011210120 is 21012110112221.

It is a super-2 number, since 2×122211011210120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 31199726 + ... + 34897634.

It is an arithmetic number, because the mean of its divisors is an integer number (1334409313050).

Almost surely, 2^{122211011210120} is an apocalyptic number.

122211011210120 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 122211011210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170804392070400).

122211011210120 is an abundant number, since it is smaller than the sum of its proper divisors (219397772930680).

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

122211011210120 is a wasteful number, since it uses less digits than its factorization.

122211011210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698128 (or 3698124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122211011210120 its reverse (21012110112221), we get a palindrome (143223121322341).

The spelling of 122211011210120 in words is "one hundred twenty-two trillion, two hundred eleven billion, eleven million, two hundred ten thousand, one hundred twenty".