12330232032000 has 288 divisors, whose sum is σ = 41133781241280. Its totient is φ = 3273697689600.

The previous prime is 12330232031983. The next prime is 12330232032017. The reversal of 12330232032000 is 23023203321.

It is an interprime number because it is at equal distance from previous prime (12330232031983) and next prime (12330232032017).

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, 21703564 + ... + 22264436.

It is an arithmetic number, because the mean of its divisors is an integer number (142825629310).

Almost surely, 2^{12330232032000} is an apocalyptic number.

12330232032000 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 12330232032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566890620640).

12330232032000 is an abundant number, since it is smaller than the sum of its proper divisors (28803549209280).

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

12330232032000 is an equidigital number, since it uses as much as digits as its factorization.

12330232032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561136 (or 561112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12330232032000 its reverse (23023203321), we get a palindrome (12353255235321).

The spelling of 12330232032000 in words is "twelve trillion, three hundred thirty billion, two hundred thirty-two million, thirty-two thousand".