120968 has 8 divisors (see below), whose sum is σ = 226830. Its totient is φ = 60480.

The previous prime is 120947. The next prime is 120977. The reversal of 120968 is 869021.

It can be written as a sum of positive squares in only one way, i.e., 114244 + 6724 = 338^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

120968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 7553 + ... + 7568.

2¹²⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

120968 is a deficient number, since it is larger than the sum of its proper divisors (105862).

120968 is a wasteful number, since it uses less digits than its factorization.

120968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 120968 is about 347.8045428110. The cubic root of 120968 is about 49.4565138608.

Adding to 120968 its reverse (869021), we get a palindrome (989989).

The spelling of 120968 in words is "one hundred twenty thousand, nine hundred sixty-eight".