120728257713 has 48 divisors (see below), whose sum is σ = 210044016000. Its totient is φ = 65276513280.

The previous prime is 120728257679. The next prime is 120728257739. The reversal of 120728257713 is 317752827021.

120728257713 is a `hidden beast` number, since 1 + 2 + 0 + 72 + 8 + 2 + 577 + 1 + 3 = 666.

It is not a de Polignac number, because 120728257713 - 2⁶ = 120728257649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120728257513) 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 47 ways as a sum of consecutive naturals, for example, 921313 + ... + 1044161.

It is an arithmetic number, because the mean of its divisors is an integer number (4375917000).

Almost surely, 2^120728257713 is an apocalyptic number.

It is an amenable number.

120728257713 is a deficient number, since it is larger than the sum of its proper divisors (89315758287).

120728257713 is a wasteful number, since it uses less digits than its factorization.

120728257713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123702 (or 123699 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 120728257713 in words is "one hundred twenty billion, seven hundred twenty-eight million, two hundred fifty-seven thousand, seven hundred thirteen".