12393216 has 144 divisors (see below), whose sum is σ = 40225920. Its totient is φ = 3732480.

The previous prime is 12393209. The next prime is 12393229. The reversal of 12393216 is 61239321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12393216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75951 + ... + 76113.

Almost surely, 2^12393216 is an apocalyptic number.

12393216 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 12393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112960).

12393216 is an abundant number, since it is smaller than the sum of its proper divisors (27832704).

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

12393216 is a wasteful number, since it uses less digits than its factorization.

12393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12393216 is about 3520.3999772753. The cubic root of 12393216 is about 231.4166876124.

It can be divided in two parts, 123 and 93216, that added together give a palindrome (93339).

The spelling of 12393216 in words is "twelve million, three hundred ninety-three thousand, two hundred sixteen".