12438216 has 192 divisors, whose sum is σ = 42681600. Its totient is φ = 3193344.

The previous prime is 12438197. The next prime is 12438227. The reversal of 12438216 is 61283421.

12438216 is a `hidden beast` number, since 12 + 438 + 216 = 666.

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

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12438216.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336150 + ... + 336186.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 2^12438216 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 12438216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

12438216 is an abundant number, since it is smaller than the sum of its proper divisors (30243384).

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

12438216 is a wasteful number, since it uses less digits than its factorization.

12438216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12438216 is about 3526.7855052441. The cubic root of 12438216 is about 231.6964420665.

The spelling of 12438216 in words is "twelve million, four hundred thirty-eight thousand, two hundred sixteen".