120011201122113 has 128 divisors (see below), whose sum is σ = 220416795648000. Its totient is φ = 63004315898880.

The previous prime is 120011201122103. The next prime is 120011201122121. The reversal of 120011201122113 is 311221102110021.

It is a happy number.

It is not a de Polignac number, because 120011201122113 - 2⁵ = 120011201122081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120011201122103) 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 127 ways as a sum of consecutive naturals, for example, 22147093 + ... + 27028061.

It is an arithmetic number, because the mean of its divisors is an integer number (1722006216000).

Almost surely, 2^{120011201122113} is an apocalyptic number.

It is an amenable number.

120011201122113 is a deficient number, since it is larger than the sum of its proper divisors (100405594525887).

120011201122113 is a wasteful number, since it uses less digits than its factorization.

120011201122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881212 (or 4881206 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120011201122113 its reverse (311221102110021), we get a palindrome (431232303232134).

The spelling of 120011201122113 in words is "one hundred twenty trillion, eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred thirteen".