12447820800 has 924 divisors, whose sum is σ = 49938120720. Its totient is φ = 3065610240.

The previous prime is 12447820769. The next prime is 12447820843. The reversal of 12447820800 is 802874421.

12447820800 is a `hidden beast` number, since 1 + 2 + 447 + 8 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 429235186 + ... + 429235214.

Almost surely, 2^12447820800 is an apocalyptic number.

12447820800 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 12447820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969060360).

12447820800 is an abundant number, since it is smaller than the sum of its proper divisors (37490299920).

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

12447820800 is an equidigital number, since it uses as much as digits as its factorization.

12447820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 12447820800 in words is "twelve billion, four hundred forty-seven million, eight hundred twenty thousand, eight hundred".