123991168 has 96 divisors (see below), whose sum is σ = 293548860. Its totient is φ = 51996672.

The previous prime is 123991163. The next prime is 123991177. The reversal of 123991168 is 861199321.

It can be written as a sum of positive squares in 2 ways, for example, as 121705024 + 2286144 = 11032^2 + 1512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123991168.

It is not an unprimeable number, because it can be changed into a prime (123991163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332230 + ... + 332602.

Almost surely, 2^123991168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146774430).

123991168 is an abundant number, since it is smaller than the sum of its proper divisors (169557692).

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

123991168 is an equidigital number, since it uses as much as digits as its factorization.

123991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its digits is 23328, while the sum is 40.

The square root of 123991168 is about 11135.1321500914. The cubic root of 123991168 is about 498.6512557157.

The spelling of 123991168 in words is "one hundred twenty-three million, nine hundred ninety-one thousand, one hundred sixty-eight".