120753963 has 16 divisors (see below), whose sum is σ = 195158400. Its totient is φ = 73184040.

The previous prime is 120753923. The next prime is 120753967. The reversal of 120753963 is 369357021.

It is not a de Polignac number, because 120753963 - 2²⁰ = 119705387 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120753967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202993 + ... + 203586.

It is an arithmetic number, because the mean of its divisors is an integer number (12197400).

Almost surely, 2^120753963 is an apocalyptic number.

120753963 is a deficient number, since it is larger than the sum of its proper divisors (74404437).

120753963 is a wasteful number, since it uses less digits than its factorization.

120753963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406599 (or 406593 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 120753963 is about 10988.8108091822. The cubic root of 120753963 is about 494.2732770347.

The spelling of 120753963 in words is "one hundred twenty million, seven hundred fifty-three thousand, nine hundred sixty-three".