12330759168 has 704 divisors, whose sum is σ = 46769856000. Its totient is φ = 3139928064.

The previous prime is 12330759151. The next prime is 12330759211. The reversal of 12330759168 is 86195703321.

12330759168 is a `hidden beast` number, since 1 + 23 + 30 + 7 + 591 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425198578 + ... + 425198606.

Almost surely, 2^12330759168 is an apocalyptic number.

12330759168 is a gapful number since it is divisible by the number (18) 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 12330759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384928000).

12330759168 is an abundant number, since it is smaller than the sum of its proper divisors (34439096832).

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

12330759168 is an equidigital number, since it uses as much as digits as its factorization.

12330759168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12330759168 in words is "twelve billion, three hundred thirty million, seven hundred fifty-nine thousand, one hundred sixty-eight".