123681168 has 120 divisors (see below), whose sum is σ = 386725248. Its totient is φ = 38040192.

The previous prime is 123681163. The next prime is 123681179. The reversal of 123681168 is 861186321.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (123681163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49321 + ... + 51767.

Almost surely, 2^123681168 is an apocalyptic number.

123681168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624).

123681168 is an abundant number, since it is smaller than the sum of its proper divisors (263044080).

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

123681168 is a wasteful number, since it uses less digits than its factorization.

123681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 123681168 is about 11121.2035319924. The cubic root of 123681168 is about 498.2353365864.

The spelling of 123681168 in words is "one hundred twenty-three million, six hundred eighty-one thousand, one hundred sixty-eight".