120013220112201 has 96 divisors (see below), whose sum is σ = 192672093807648. Its totient is φ = 71507030999040.

The previous prime is 120013220112187. The next prime is 120013220112229. The reversal of 120013220112201 is 102211022310021.

120013220112201 is a `hidden beast` number, since 1 + 200 + 13 + 220 + 11 + 220 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 54172897330176 + 65840322782025 = 7360224^2 + 8114205^2 .

It is not a de Polignac number, because 120013220112201 - 2¹³ = 120013220104009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120013220116201) 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 95 ways as a sum of consecutive naturals, for example, 759993885 + ... + 760151781.

It is an arithmetic number, because the mean of its divisors is an integer number (2007000977163).

Almost surely, 2^{120013220112201} is an apocalyptic number.

It is an amenable number.

120013220112201 is a deficient number, since it is larger than the sum of its proper divisors (72658873695447).

120013220112201 is a wasteful number, since it uses less digits than its factorization.

120013220112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158811 (or 158808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120013220112201 its reverse (102211022310021), we get a palindrome (222224242422222).

The spelling of 120013220112201 in words is "one hundred twenty trillion, thirteen billion, two hundred twenty million, one hundred twelve thousand, two hundred one".