12308352000 has 704 divisors, whose sum is σ = 49458140160. Its totient is φ = 2654208000.

The previous prime is 12308351959. The next prime is 12308352011. The reversal of 12308352000 is 25380321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 51071880 + ... + 51072120.

It is an arithmetic number, because the mean of its divisors is an integer number (70253040).

Almost surely, 2^12308352000 is an apocalyptic number.

12308352000 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 12308352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729070080).

12308352000 is an abundant number, since it is smaller than the sum of its proper divisors (37149788160).

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

12308352000 is a wasteful number, since it uses less digits than its factorization.

12308352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12308352000 in words is "twelve billion, three hundred eight million, three hundred fifty-two thousand".