12330519921216 has 1792 divisors, whose sum is σ = 48546897592320. Its totient is φ = 2985028485120.

The previous prime is 12330519921107. The next prime is 12330519921241. The reversal of 12330519921216 is 61212991503321.

12330519921216 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 519 + 9 + 2 + 121 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5424776656 + ... + 5424778928.

Almost surely, 2^{12330519921216} is an apocalyptic number.

12330519921216 is a gapful number since it is divisible by the number (16) 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 12330519921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24273448796160).

12330519921216 is an abundant number, since it is smaller than the sum of its proper divisors (36216377671104).

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

12330519921216 is a wasteful number, since it uses less digits than its factorization.

12330519921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12330519921216 in words is "twelve trillion, three hundred thirty billion, five hundred nineteen million, nine hundred twenty-one thousand, two hundred sixteen".