12284340499200 has 2592 divisors, whose sum is σ = 54366920294400. Its totient is φ = 2384120217600.

The previous prime is 12284340499199. The next prime is 12284340499217. The reversal of 12284340499200 is 299404348221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12284340499200.

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 287 ways as a sum of consecutive naturals, for example, 25645804561 + ... + 25645805039.

Almost surely, 2^{12284340499200} is an apocalyptic number.

12284340499200 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 12284340499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27183460147200).

12284340499200 is an abundant number, since it is smaller than the sum of its proper divisors (42082579795200).

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

12284340499200 is a wasteful number, since it uses less digits than its factorization.

12284340499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 12284340499200 in words is "twelve trillion, two hundred eighty-four billion, three hundred forty million, four hundred ninety-nine thousand, two hundred".