12330010144000 has 288 divisors, whose sum is σ = 30894982949376. Its totient is φ = 4903286169600.

The previous prime is 12330010143989. The next prime is 12330010144003. The reversal of 12330010144000 is 44101003321.

It is a super-2 number, since 2×12330010144000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330010144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4848606729 + ... + 4848609271.

It is an arithmetic number, because the mean of its divisors is an integer number (107274246352).

Almost surely, 2^{12330010144000} is an apocalyptic number.

12330010144000 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 12330010144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447491474688).

12330010144000 is an abundant number, since it is smaller than the sum of its proper divisors (18564972805376).

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

12330010144000 is an equidigital number, since it uses as much as digits as its factorization.

12330010144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12330010144000 its reverse (44101003321), we get a palindrome (12374111147321).

The spelling of 12330010144000 in words is "twelve trillion, three hundred thirty billion, ten million, one hundred forty-four thousand".