12304305216 has 448 divisors, whose sum is σ = 44101877760. Its totient is φ = 3287623680.

The previous prime is 12304305191. The next prime is 12304305217. The reversal of 12304305216 is 61250340321.

12304305216 is a `hidden beast` number, since 12 + 3 + 0 + 430 + 5 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12304305216.

It is not an unprimeable number, because it can be changed into a prime (12304305217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13075306 + ... + 13076246.

Almost surely, 2^12304305216 is an apocalyptic number.

12304305216 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 12304305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050938880).

12304305216 is an abundant number, since it is smaller than the sum of its proper divisors (31797572544).

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

12304305216 is a wasteful number, since it uses less digits than its factorization.

12304305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12304305216 its reverse (61250340321), we get a palindrome (73554645537).

The spelling of 12304305216 in words is "twelve billion, three hundred four million, three hundred five thousand, two hundred sixteen".