120122405264133 has 72 divisors (see below), whose sum is σ = 189288083013120. Its totient is φ = 73319258669760.

The previous prime is 120122405264083. The next prime is 120122405264219. The reversal of 120122405264133 is 331462504221021.

It is a happy number.

120122405264133 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 2 + 4 + 0 + 5 + 2 + 641 + 3 + 3 = 666.

It is not a de Polignac number, because 120122405264133 - 2¹⁰ = 120122405263109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122405266133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73013488 + ... + 74640566.

It is an arithmetic number, because the mean of its divisors is an integer number (2629001152960).

Almost surely, 2^{120122405264133} is an apocalyptic number.

It is an amenable number.

120122405264133 is a deficient number, since it is larger than the sum of its proper divisors (69165677748987).

120122405264133 is a wasteful number, since it uses less digits than its factorization.

120122405264133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627887 (or 1627865 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 120122405264133 its reverse (331462504221021), we get a palindrome (451584909485154).

The spelling of 120122405264133 in words is "one hundred twenty trillion, one hundred twenty-two billion, four hundred five million, two hundred sixty-four thousand, one hundred thirty-three".