120210112122120 has 96 divisors (see below), whose sum is σ = 399768512457600. Its totient is φ = 31310540827776.

The previous prime is 120210112122103. The next prime is 120210112122131. The reversal of 120210112122120 is 21221211012021.

120210112122120 is a `hidden beast` number, since 1 + 20 + 210 + 11 + 212 + 212 + 0 = 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 = 120210112122093 and 120210112122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3882740080 + ... + 3882771039.

It is an arithmetic number, because the mean of its divisors is an integer number (4164255338100).

Almost surely, 2^{120210112122120} is an apocalyptic number.

120210112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210112122120 is an abundant number, since it is smaller than the sum of its proper divisors (279558400335480).

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

120210112122120 is a wasteful number, since it uses less digits than its factorization.

120210112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765511179 (or 7765511172 counting only the distinct ones).

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

Adding to 120210112122120 its reverse (21221211012021), we get a palindrome (141431323134141).

The spelling of 120210112122120 in words is "one hundred twenty trillion, two hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".