120212102110120 has 128 divisors (see below), whose sum is σ = 274373096256000. Its totient is φ = 47395066118400.

The previous prime is 120212102110031. The next prime is 120212102110157. The reversal of 120212102110120 is 21011201212021.

It is a junction number, because it is equal to n+sod(n) for n = 120212102110094 and 120212102110103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578584171 + ... + 2578630789.

It is an arithmetic number, because the mean of its divisors is an integer number (2143539814500).

Almost surely, 2^{120212102110120} is an apocalyptic number.

120212102110120 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 120212102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137186548128000).

120212102110120 is an abundant number, since it is smaller than the sum of its proper divisors (154160994145880).

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

120212102110120 is a wasteful number, since it uses less digits than its factorization.

120212102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48503 (or 48499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120212102110120 its reverse (21011201212021), we get a palindrome (141223303322141).

The spelling of 120212102110120 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred two million, one hundred ten thousand, one hundred twenty".