12082584825600 has 216 divisors, whose sum is σ = 39879172569600. Its totient is φ = 3221689282560.

The previous prime is 12082584825587. The next prime is 12082584825611. The reversal of 12082584825600 is 652848528021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226667751 + ... + 226721049.

Almost surely, 2^{12082584825600} is an apocalyptic number.

12082584825600 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 12082584825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939586284800).

12082584825600 is an abundant number, since it is smaller than the sum of its proper divisors (27796587744000).

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

12082584825600 is a wasteful number, since it uses less digits than its factorization.

12082584825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65135 (or 65116 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 12082584825600 in words is "twelve trillion, eighty-two billion, five hundred eighty-four million, eight hundred twenty-five thousand, six hundred".