12491303328 has 192 divisors, whose sum is σ = 41731200000. Its totient is φ = 3560931072.

The previous prime is 12491303311. The next prime is 12491303329. The reversal of 12491303328 is 82330319421.

12491303328 is a `hidden beast` number, since 1 + 24 + 9 + 1 + 303 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12491303292 and 12491303301.

It is not an unprimeable number, because it can be changed into a prime (12491303329) 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 31 ways as a sum of consecutive naturals, for example, 3015883 + ... + 3020021.

It is an arithmetic number, because the mean of its divisors is an integer number (217350000).

Almost surely, 2^12491303328 is an apocalyptic number.

12491303328 is a gapful number since it is divisible by the number (18) 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 12491303328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600000).

12491303328 is an abundant number, since it is smaller than the sum of its proper divisors (29239896672).

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

12491303328 is a wasteful number, since it uses less digits than its factorization.

12491303328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12491303328 in words is "twelve billion, four hundred ninety-one million, three hundred three thousand, three hundred twenty-eight".