12395296000 has 432 divisors, whose sum is σ = 34623847440. Its totient is φ = 4412620800.

The previous prime is 12395295959. The next prime is 12395296031. The reversal of 12395296000 is 69259321.

It can be written as a sum of positive squares in 8 ways, for example, as 1585950976 + 10809345024 = 39824^2 + 103968^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 335007982 + ... + 335008018.

It is an arithmetic number, because the mean of its divisors is an integer number (80147795).

Almost surely, 2^12395296000 is an apocalyptic number.

12395296000 is a gapful number since it is divisible by the number (10) 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 12395296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311923720).

12395296000 is an abundant number, since it is smaller than the sum of its proper divisors (22228551440).

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

12395296000 is an equidigital number, since it uses as much as digits as its factorization.

12395296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 12395296000 in words is "twelve billion, three hundred ninety-five million, two hundred ninety-six thousand".