120957 has 8 divisors (see below), whose sum is σ = 168384. Its totient is φ = 77088.

The previous prime is 120947. The next prime is 120977. The reversal of 120957 is 759021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120957 - 2⁴ = 120941 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120957.

It is not an unprimeable number, because it can be changed into a prime (120907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (21048).

2¹²⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

120957 is a deficient number, since it is larger than the sum of its proper divisors (47427).

120957 is a wasteful number, since it uses less digits than its factorization.

120957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 120957 is about 347.7887289721. The cubic root of 120957 is about 49.4550147367.

Adding to 120957 its reverse (759021), we get a palindrome (879978).

The spelling of 120957 in words is "one hundred twenty thousand, nine hundred fifty-seven".