120122021121201 has 96 divisors (see below), whose sum is σ = 197712977559552. Its totient is φ = 69565447226880.

The previous prime is 120122021121169. The next prime is 120122021121209. The reversal of 120122021121201 is 102121120221021.

120122021121201 is a `hidden beast` number, since 1 + 20 + 1 + 220 + 211 + 212 + 0 + 1 = 666.

It is not a de Polignac number, because 120122021121201 - 2⁵ = 120122021121169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122021121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14028025746 + ... + 14028034308.

It is an arithmetic number, because the mean of its divisors is an integer number (2059510182912).

Almost surely, 2^{120122021121201} is an apocalyptic number.

120122021121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120122021121201 is a deficient number, since it is larger than the sum of its proper divisors (77590956438351).

120122021121201 is a wasteful number, since it uses less digits than its factorization.

120122021121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123 (or 14120 counting only the distinct ones).

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

Adding to 120122021121201 its reverse (102121120221021), we get a palindrome (222243141342222).

The spelling of 120122021121201 in words is "one hundred twenty trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, two hundred one".