120120122110122 has 64 divisors (see below), whose sum is σ = 269432054317440. Its totient is φ = 39665283660288.

The previous prime is 120120122110111. The next prime is 120120122110123. The reversal of 120120122110122 is 221011221021021.

120120122110122 is a `hidden beast` number, since 120 + 1 + 201 + 221 + 1 + 0 + 122 = 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 = 120120122110095 and 120120122110104.

It is not an unprimeable number, because it can be changed into a prime (120120122110123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788025658 + ... + 788178074.

It is an arithmetic number, because the mean of its divisors is an integer number (4209875848710).

Almost surely, 2^{120120122110122} is an apocalyptic number.

120120122110122 is an abundant number, since it is smaller than the sum of its proper divisors (149311932207318).

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

120120122110122 is a wasteful number, since it uses less digits than its factorization.

120120122110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288932 (or 288926 counting only the distinct ones).

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

Adding to 120120122110122 its reverse (221011221021021), we get a palindrome (341131343131143).

The spelling of 120120122110122 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-two".