12388416 has 56 divisors (see below), whose sum is σ = 33125664. Its totient is φ = 4085760.

The previous prime is 12388403. The next prime is 12388417. The reversal of 12388416 is 61488321.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (12388417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21411 + ... + 21981.

Almost surely, 2^12388416 is an apocalyptic number.

12388416 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 12388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562832).

12388416 is an abundant number, since it is smaller than the sum of its proper divisors (20737248).

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

12388416 is a wasteful number, since it uses less digits than its factorization.

12388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12388416 is about 3519.7181705358. The cubic root of 12388416 is about 231.3868071913.

The spelling of 12388416 in words is "twelve million, three hundred eighty-eight thousand, four hundred sixteen".