12822506484480 has 1728 divisors, whose sum is σ = 56879419484160. Its totient is φ = 2589976166400.

The previous prime is 12822506484467. The next prime is 12822506484499. The reversal of 12822506484480 is 8448460522821.

12822506484480 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 25 + 0 + 64 + 84 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4597526926 + ... + 4597529714.

It is an arithmetic number, because the mean of its divisors is an integer number (32916330720).

Almost surely, 2^{12822506484480} is an apocalyptic number.

12822506484480 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 12822506484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439709742080).

12822506484480 is an abundant number, since it is smaller than the sum of its proper divisors (44056912999680).

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

12822506484480 is a wasteful number, since it uses less digits than its factorization.

12822506484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 12822506484480 in words is "twelve trillion, eight hundred twenty-two billion, five hundred six million, four hundred eighty-four thousand, four hundred eighty".