120200122011121 has 16 divisors (see below), whose sum is σ = 123120988056000. Its totient is φ = 117310173739200.

The previous prime is 120200122011083. The next prime is 120200122011149. The reversal of 120200122011121 is 121110221002021.

It is a cyclic number.

It is not a de Polignac number, because 120200122011121 - 2²⁷ = 120199987793393 is a prime.

It is a super-2 number, since 2×120200122011121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120200122011095 and 120200122011104.

It is not an unprimeable number, because it can be changed into a prime (120200122018121) 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, 54447150 + ... + 56611768.

It is an arithmetic number, because the mean of its divisors is an integer number (7695061753500).

Almost surely, 2^{120200122011121} is an apocalyptic number.

It is an amenable number.

120200122011121 is a deficient number, since it is larger than the sum of its proper divisors (2920866044879).

120200122011121 is a wasteful number, since it uses less digits than its factorization.

120200122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171760.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120200122011121 its reverse (121110221002021), we get a palindrome (241310343013142).

The spelling of 120200122011121 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".