120020120212122 has 40 divisors (see below), whose sum is σ = 289621201770516. Its totient is φ = 36929267756928.

The previous prime is 120020120212051. The next prime is 120020120212127. The reversal of 120020120212122 is 221212021020021.

It is a happy number.

120020120212122 is a `hidden beast` number, since 120 + 0 + 201 + 202 + 121 + 22 = 666.

120020120212122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117668494895121 + 2351625317001 = 10847511^2 + 1533501^2 .

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 = 120020120212095 and 120020120212104.

It is not an unprimeable number, because it can be changed into a prime (120020120212127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28494803263 + ... + 28494807474.

Almost surely, 2^{120020120212122} is an apocalyptic number.

120020120212122 is an abundant number, since it is smaller than the sum of its proper divisors (169601081558394).

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

120020120212122 is a wasteful number, since it uses less digits than its factorization.

120020120212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56989610764 (or 56989610755 counting only the distinct ones).

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

Adding to 120020120212122 its reverse (221212021020021), we get a palindrome (341232141232143).

The spelling of 120020120212122 in words is "one hundred twenty trillion, twenty billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty-two".