123168 has 24 divisors (see below), whose sum is σ = 323568. Its totient is φ = 41024.

The previous prime is 123143. The next prime is 123169. The reversal of 123168 is 861321.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 546 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (13482).

2¹²³¹⁶⁸ is an apocalyptic number.

It is an amenable number.

123168 is an abundant number, since it is smaller than the sum of its proper divisors (200400).

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

123168 is a wasteful number, since it uses less digits than its factorization.

123168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 123168 is about 350.9529883047. The cubic root of 123168 is about 49.7545301970.

Adding to 123168 its reverse (861321), we get a palindrome (984489).

The spelling of 123168 in words is "one hundred twenty-three thousand, one hundred sixty-eight".