120200211121121 has 16 divisors (see below), whose sum is σ = 121363635552720. Its totient is φ = 119037901916160.

The previous prime is 120200211121087. The next prime is 120200211121127. The reversal of 120200211121121 is 121121112002021.

It can be written as a sum of positive squares in 8 ways, for example, as 7317235991521 + 112882975129600 = 2705039^2 + 10624640^2 .

It is a cyclic number.

It is not a de Polignac number, because 120200211121121 - 2²² = 120200206926817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120200211121121.

It is not an unprimeable number, because it can be changed into a prime (120200211121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714955641 + ... + 2714999913.

It is an arithmetic number, because the mean of its divisors is an integer number (7585227222045).

Almost surely, 2^{120200211121121} is an apocalyptic number.

It is an amenable number.

120200211121121 is a deficient number, since it is larger than the sum of its proper divisors (1163424431599).

120200211121121 is a wasteful number, since it uses less digits than its factorization.

120200211121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56276.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120200211121121 its reverse (121121112002021), we get a palindrome (241321323123142).

The spelling of 120200211121121 in words is "one hundred twenty trillion, two hundred billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".