12282476348880 has 480 divisors, whose sum is σ = 45349755429888. Its totient is φ = 3083998924800.

The previous prime is 12282476348867. The next prime is 12282476348999. The reversal of 12282476348880 is 8884367428221.

12282476348880 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 4 + 76 + 3 + 488 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22022260 + ... + 22573100.

Almost surely, 2^{12282476348880} is an apocalyptic number.

12282476348880 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 12282476348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674877714944).

12282476348880 is an abundant number, since it is smaller than the sum of its proper divisors (33067279081008).

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

12282476348880 is a wasteful number, since it uses less digits than its factorization.

12282476348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550937 (or 550919 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 12282476348880 in words is "twelve trillion, two hundred eighty-two billion, four hundred seventy-six million, three hundred forty-eight thousand, eight hundred eighty".