120961 has 4 divisors (see below), whose sum is σ = 122692. Its totient is φ = 119232.

The previous prime is 120947. The next prime is 120977. The reversal of 120961 is 169021.

120961 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169021 = 173 ⋅977.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 67600 = 231^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 120961 - 2⁵ = 120929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (30673).

2¹²⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

120961 is a deficient number, since it is larger than the sum of its proper divisors (1731).

120961 is an equidigital number, since it uses as much as digits as its factorization.

120961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 120961 is about 347.7944795422. The cubic root of 120961 is about 49.4555598832.

Adding to 120961 its reverse (169021), we get a palindrome (289982).

It can be divided in two parts, 120 and 961, that added together give a triangular number (1081 = T₄₆).

The spelling of 120961 in words is "one hundred twenty thousand, nine hundred sixty-one".