120122100120 has 128 divisors (see below), whose sum is σ = 402715514880. Its totient is φ = 28410240000.

The previous prime is 120122100103. The next prime is 120122100211. The reversal of 120122100120 is 21001221021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120122100096 and 120122100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055656 + ... + 1163895.

It is an arithmetic number, because the mean of its divisors is an integer number (3146214960).

Almost surely, 2^120122100120 is an apocalyptic number.

120122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122100120 is an abundant number, since it is smaller than the sum of its proper divisors (282593414760).

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

120122100120 is a wasteful number, since it uses less digits than its factorization.

120122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219617 (or 2219613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120122100120 its reverse (21001221021), we get a palindrome (141123321141).

It can be divided in two parts, 1201221001 and 20, that added together give a palindrome (1201221021).

The spelling of 120122100120 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".