12329172384000 has 288 divisors, whose sum is σ = 40973169444480. Its totient is φ = 3286027264000.

The previous prime is 12329172383999. The next prime is 12329172384031. The reversal of 12329172384000 is 48327192321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185342746 + ... + 185409254.

It is an arithmetic number, because the mean of its divisors is an integer number (142267949460).

Almost surely, 2^{12329172384000} is an apocalyptic number.

12329172384000 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 12329172384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20486584722240).

12329172384000 is an abundant number, since it is smaller than the sum of its proper divisors (28643997060480).

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

12329172384000 is an equidigital number, since it uses as much as digits as its factorization.

12329172384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68474 (or 68450 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12329172384000 in words is "twelve trillion, three hundred twenty-nine billion, one hundred seventy-two million, three hundred eighty-four thousand".