120168 has 24 divisors (see below), whose sum is σ = 325650. Its totient is φ = 40032.

The previous prime is 120167. The next prime is 120181. The reversal of 120168 is 861021.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 19044 = 318^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120168.

It is not an unprimeable number, because it can be changed into a prime (120163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 763 + ... + 906.

2¹²⁰¹⁶⁸ is an apocalyptic number.

120168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120168 is an abundant number, since it is smaller than the sum of its proper divisors (205482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120168 is a wasteful number, since it uses less digits than its factorization.

120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120168 is about 346.6525638157. The cubic root of 120168 is about 49.3472487326.

Adding to 120168 its reverse (861021), we get a palindrome (981189).

The spelling of 120168 in words is "one hundred twenty thousand, one hundred sixty-eight".