120240234333513 has 72 divisors (see below), whose sum is σ = 202443386394600. Its totient is φ = 68570292510720.

The previous prime is 120240234333497. The next prime is 120240234333559. The reversal of 120240234333513 is 315333432042021.

120240234333513 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 40 + 234 + 33 + 351 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316040307344 + 118924194026169 = 1147188^2 + 10905237^2 .

It is not a de Polignac number, because 120240234333513 - 2⁴ = 120240234333497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120240234333013) 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, 3450303513 + ... + 3450338361.

It is an arithmetic number, because the mean of its divisors is an integer number (2811713699925).

Almost surely, 2^{120240234333513} is an apocalyptic number.

It is an amenable number.

120240234333513 is a deficient number, since it is larger than the sum of its proper divisors (82203152061087).

120240234333513 is a wasteful number, since it uses less digits than its factorization.

120240234333513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50407 (or 50397 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 120240234333513 its reverse (315333432042021), we get a palindrome (435573666375534).

The spelling of 120240234333513 in words is "one hundred twenty trillion, two hundred forty billion, two hundred thirty-four million, three hundred thirty-three thousand, five hundred thirteen".