12284210140800 has 768 divisors, whose sum is σ = 44814798336000. Its totient is φ = 2938387415040.

The previous prime is 12284210140759. The next prime is 12284210140819. The reversal of 12284210140800 is 804101248221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067907849 + ... + 1067919351.

It is an arithmetic number, because the mean of its divisors is an integer number (58352602000).

Almost surely, 2^{12284210140800} is an apocalyptic number.

12284210140800 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 12284210140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407399168000).

12284210140800 is an abundant number, since it is smaller than the sum of its proper divisors (32530588195200).

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

12284210140800 is a wasteful number, since it uses less digits than its factorization.

12284210140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 12284210140800 in words is "twelve trillion, two hundred eighty-four billion, two hundred ten million, one hundred forty thousand, eight hundred".