120200211122121 has 24 divisors (see below), whose sum is σ = 187575480388296. Its totient is φ = 73733036832000.

The previous prime is 120200211122011. The next prime is 120200211122171. The reversal of 120200211122121 is 121221112002021.

120200211122121 is a `hidden beast` number, since 12 + 0 + 200 + 211 + 1 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2529893838096 + 117670317284025 = 1590564^2 + 10847595^2 .

It is not a de Polignac number, because 120200211122121 - 2⁹ = 120200211121609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120200211122094 and 120200211122103.

It is not an unprimeable number, because it can be changed into a prime (120200211122171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641101130 + ... + 1641174371.

It is an arithmetic number, because the mean of its divisors is an integer number (7815645016179).

Almost surely, 2^{120200211122121} is an apocalyptic number.

It is an amenable number.

120200211122121 is a deficient number, since it is larger than the sum of its proper divisors (67375269266175).

120200211122121 is a wasteful number, since it uses less digits than its factorization.

120200211122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282275833 (or 3282275830 counting only the distinct ones).

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

Adding to 120200211122121 its reverse (121221112002021), we get a palindrome (241421323124142).

The spelling of 120200211122121 in words is "one hundred twenty trillion, two hundred billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".