12478852800 has 252 divisors, whose sum is σ = 44459911080. Its totient is φ = 3319664640.

The previous prime is 12478852787. The next prime is 12478852811. The reversal of 12478852800 is 825887421.

It is a happy number.

12478852800 is a `hidden beast` number, since 1 + 2 + 47 + 88 + 528 + 0 + 0 = 666.

12478852800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8192839 + ... + 8194361.

Almost surely, 2^12478852800 is an apocalyptic number.

12478852800 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 12478852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229955540).

12478852800 is an abundant number, since it is smaller than the sum of its proper divisors (31981058280).

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

12478852800 is a wasteful number, since it uses less digits than its factorization.

12478852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 12478852800 in words is "twelve billion, four hundred seventy-eight million, eight hundred fifty-two thousand, eight hundred".