120120120122121 has 72 divisors (see below), whose sum is σ = 203265543520832. Its totient is φ = 66946104720000.

The previous prime is 120120120122083. The next prime is 120120120122153. The reversal of 120120120122121 is 121221021021021.

120120120122121 is a `hidden beast` number, since 1 + 20 + 1 + 201 + 201 + 221 + 21 = 666.

It is not a de Polignac number, because 120120120122121 - 2¹⁰ = 120120120121097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120120120122094 and 120120120122103.

It is not an unprimeable number, because it can be changed into a prime (120120120122021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41663571 + ... + 44453271.

Almost surely, 2^{120120120122121} is an apocalyptic number.

It is an amenable number.

120120120122121 is a deficient number, since it is larger than the sum of its proper divisors (83145423398711).

120120120122121 is a wasteful number, since it uses less digits than its factorization.

120120120122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789983 (or 2789879 counting only the distinct ones).

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

Adding to 120120120122121 its reverse (121221021021021), we get a palindrome (241341141143142).

It can be divided in two parts, 12012012012 and 2121, that multiplied together give a palindrome (25477477477452).

The spelling of 120120120122121 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".