12582284870400 has 864 divisors, whose sum is σ = 48387994636800. Its totient is φ = 2819742105600.

The previous prime is 12582284870387. The next prime is 12582284870423. The reversal of 12582284870400 is 407848228521.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3338359716 + ... + 3338363484.

Almost surely, 2^{12582284870400} is an apocalyptic number.

12582284870400 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 12582284870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24193997318400).

12582284870400 is an abundant number, since it is smaller than the sum of its proper divisors (35805709766400).

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

12582284870400 is a wasteful number, since it uses less digits than its factorization.

12582284870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 12582284870400 in words is "twelve trillion, five hundred eighty-two billion, two hundred eighty-four million, eight hundred seventy thousand, four hundred".