123312384 has 216 divisors, whose sum is σ = 401768640. Its totient is φ = 36089856.

The previous prime is 123312359. The next prime is 123312421. The reversal of 123312384 is 483213321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688807 + ... + 688985.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^123312384 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 123312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

123312384 is an abundant number, since it is smaller than the sum of its proper divisors (278456256).

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

123312384 is a wasteful number, since it uses less digits than its factorization.

123312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 123312384 is about 11104.6109342021. The cubic root of 123312384 is about 497.7396422977.

The spelling of 123312384 in words is "one hundred twenty-three million, three hundred twelve thousand, three hundred eighty-four".