12411683328 has 160 divisors (see below), whose sum is σ = 36191022912. Its totient is φ = 3748659200.

The previous prime is 12411683321. The next prime is 12411683341. The reversal of 12411683328 is 82338611421.

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

It is not an unprimeable number, because it can be changed into a prime (12411683321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5963248 + ... + 5965328.

Almost surely, 2^12411683328 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 12411683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095511456).

12411683328 is an abundant number, since it is smaller than the sum of its proper divisors (23779339584).

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

12411683328 is a wasteful number, since it uses less digits than its factorization.

12411683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2450 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 12411683328 in words is "twelve billion, four hundred eleven million, six hundred eighty-three thousand, three hundred twenty-eight".