123918336 has 168 divisors, whose sum is σ = 375970140. Its totient is φ = 40808448.

The previous prime is 123918313. The next prime is 123918337. The reversal of 123918336 is 633819321.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123918336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123918337) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492951 + ... + 1493033.

Almost surely, 2^123918336 is an apocalyptic number.

123918336 is a gapful number since it is divisible by the number (16) 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 123918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187985070).

123918336 is an abundant number, since it is smaller than the sum of its proper divisors (252051804).

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

123918336 is an frugal number, since it uses more digits than its factorization.

123918336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 123918336 is about 11131.8612998905. The cubic root of 123918336 is about 498.5536012291.

The spelling of 123918336 in words is "one hundred twenty-three million, nine hundred eighteen thousand, three hundred thirty-six".