12084343499520 has 1008 divisors, whose sum is σ = 44299363449600. Its totient is φ = 3156254760960.

The previous prime is 12084343499509. The next prime is 12084343499521. The reversal of 12084343499520 is 2599434348021.

It is a happy number.

12084343499520 is a `hidden beast` number, since 1 + 2 + 0 + 84 + 3 + 4 + 34 + 9 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12084343499521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11859021571 + ... + 11859022589.

It is an arithmetic number, because the mean of its divisors is an integer number (43947781200).

Almost surely, 2^{12084343499520} is an apocalyptic number.

12084343499520 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 12084343499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149681724800).

12084343499520 is an abundant number, since it is smaller than the sum of its proper divisors (32215019950080).

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

12084343499520 is an equidigital number, since it uses as much as digits as its factorization.

12084343499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12084343499520 in words is "twelve trillion, eighty-four billion, three hundred forty-three million, four hundred ninety-nine thousand, five hundred twenty".