120210220122120 has 96 divisors (see below), whose sum is σ = 391538102618520. Its totient is φ = 31985914106880.

The previous prime is 120210220122101. The next prime is 120210220122143. The reversal of 120210220122120 is 21221022012021.

It is a happy number.

120210220122120 is a `hidden beast` number, since 1 + 20 + 210 + 220 + 1 + 2 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119280341774916 + 929878347204 = 10921554^2 + 964302^2 .

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 = 120210220122093 and 120210220122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365171671 + ... + 365500710.

Almost surely, 2^{120210220122120} is an apocalyptic number.

120210220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210220122120 is an abundant number, since it is smaller than the sum of its proper divisors (271327882496400).

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

120210220122120 is a wasteful number, since it uses less digits than its factorization.

120210220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730672855 (or 730672848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120210220122120 its reverse (21221022012021), we get a palindrome (141431242134141).

The spelling of 120210220122120 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".