12286578304 has 512 divisors, whose sum is σ = 35642880000. Its totient is φ = 4145541120.

The previous prime is 12286578299. The next prime is 12286578313. The reversal of 12286578304 is 40387568221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119287117 + ... + 119287219.

It is an arithmetic number, because the mean of its divisors is an integer number (69615000).

Almost surely, 2^12286578304 is an apocalyptic number.

12286578304 is a gapful number since it is divisible by the number (14) 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 12286578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440000).

12286578304 is an abundant number, since it is smaller than the sum of its proper divisors (23356301696).

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

12286578304 is a wasteful number, since it uses less digits than its factorization.

12286578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 12286578304 in words is "twelve billion, two hundred eighty-six million, five hundred seventy-eight thousand, three hundred four".