120114134244401 has 48 divisors (see below), whose sum is σ = 140587370100288. Its totient is φ = 101732035190400.

The previous prime is 120114134244341. The next prime is 120114134244409. The reversal of 120114134244401 is 104442431411021.

It is not a de Polignac number, because 120114134244401 - 2⁶ = 120114134244337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120114134244409) 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 47 ways as a sum of consecutive naturals, for example, 1328107355 + ... + 1328197791.

It is an arithmetic number, because the mean of its divisors is an integer number (2928903543756).

Almost surely, 2^{120114134244401} is an apocalyptic number.

120114134244401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120114134244401 is a deficient number, since it is larger than the sum of its proper divisors (20473235855887).

120114134244401 is a wasteful number, since it uses less digits than its factorization.

120114134244401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96030 (or 96011 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 120114134244401 its reverse (104442431411021), we get a palindrome (224556565655422).

The spelling of 120114134244401 in words is "one hundred twenty trillion, one hundred fourteen billion, one hundred thirty-four million, two hundred forty-four thousand, four hundred one".