12305216 has 84 divisors (see below), whose sum is σ = 30809184. Its totient is φ = 4773120.

The previous prime is 12305213. The next prime is 12305221. The reversal of 12305216 is 61250321.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54095 + ... + 54321.

It is an arithmetic number, because the mean of its divisors is an integer number (366776).

Almost surely, 2^12305216 is an apocalyptic number.

12305216 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 12305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404592).

12305216 is an abundant number, since it is smaller than the sum of its proper divisors (18503968).

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

12305216 is a wasteful number, since it uses less digits than its factorization.

12305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12305216 is about 3507.8791313271. The cubic root of 12305216 is about 230.8676490520.

Adding to 12305216 its reverse (61250321), we get a palindrome (73555537).

It can be divided in two parts, 12305 and 216, that added together give a palindrome (12521).

The spelling of 12305216 in words is "twelve million, three hundred five thousand, two hundred sixteen".