120122110112220 has 144 divisors (see below), whose sum is σ = 366025589748000. Its totient is φ = 31887100555776.

The previous prime is 120122110112201. The next prime is 120122110112237. The reversal of 120122110112220 is 22211011221021.

120122110112220 is a `hidden beast` number, since 1 + 201 + 22 + 110 + 112 + 220 = 666.

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 = 120122110112193 and 120122110112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237958246 + ... + 238462514.

It is an arithmetic number, because the mean of its divisors is an integer number (2541844373250).

Almost surely, 2^{120122110112220} is an apocalyptic number.

120122110112220 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 120122110112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183012794874000).

120122110112220 is an abundant number, since it is smaller than the sum of its proper divisors (245903479635780).

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

120122110112220 is a wasteful number, since it uses less digits than its factorization.

120122110112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510292 (or 510287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122110112220 its reverse (22211011221021), we get a palindrome (142333121333241).

The spelling of 120122110112220 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred twenty".