12478118400 has 720 divisors, whose sum is σ = 50065947360. Its totient is φ = 2941747200.

The previous prime is 12478118381. The next prime is 12478118431. The reversal of 12478118400 is 481187421.

12478118400 is a `hidden beast` number, since 1 + 2 + 478 + 1 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 54489486 + ... + 54489714.

It is an arithmetic number, because the mean of its divisors is an integer number (69536038).

Almost surely, 2^12478118400 is an apocalyptic number.

12478118400 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 12478118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032973680).

12478118400 is an abundant number, since it is smaller than the sum of its proper divisors (37587828960).

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

12478118400 is a wasteful number, since it uses less digits than its factorization.

12478118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12478118400 in words is "twelve billion, four hundred seventy-eight million, one hundred eighteen thousand, four hundred".