12414002304 has 256 divisors, whose sum is σ = 37729359360. Its totient is φ = 3582566400.

The previous prime is 12414002299. The next prime is 12414002309. The reversal of 12414002304 is 40320041421.

It is an interprime number because it is at equal distance from previous prime (12414002299) and next prime (12414002309).

It is not an unprimeable number, because it can be changed into a prime (12414002309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7446079 + ... + 7447745.

It is an arithmetic number, because the mean of its divisors is an integer number (147380310).

Almost surely, 2^12414002304 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 12414002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18864679680).

12414002304 is an abundant number, since it is smaller than the sum of its proper divisors (25315357056).

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

12414002304 is a wasteful number, since it uses less digits than its factorization.

12414002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12414002304 its reverse (40320041421), we get a palindrome (52734043725).

The spelling of 12414002304 in words is "twelve billion, four hundred fourteen million, two thousand, three hundred four".