120122121200121 has 24 divisors (see below), whose sum is σ = 179507652597000. Its totient is φ = 77313598693632.

The previous prime is 120122121200093. The next prime is 120122121200129. The reversal of 120122121200121 is 121002121221021.

120122121200121 is a `hidden beast` number, since 1 + 201 + 22 + 121 + 200 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95977290240000 + 24144830960121 = 9796800^2 + 4913739^2 .

It is not a de Polignac number, because 120122121200121 - 2⁶ = 120122121200057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120122121200094 and 120122121200103.

It is not an unprimeable number, because it can be changed into a prime (120122121200129) 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, 15843516 + ... + 22164413.

It is an arithmetic number, because the mean of its divisors is an integer number (7479485524875).

Almost surely, 2^{120122121200121} is an apocalyptic number.

It is an amenable number.

120122121200121 is a deficient number, since it is larger than the sum of its proper divisors (59385531396879).

120122121200121 is a wasteful number, since it uses less digits than its factorization.

120122121200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38020073 (or 38020070 counting only the distinct ones).

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

Adding to 120122121200121 its reverse (121002121221021), we get a palindrome (241124242421142).

The spelling of 120122121200121 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-one".