12478284000 has 864 divisors, whose sum is σ = 54991669824. Its totient is φ = 2623795200.

The previous prime is 12478283999. The next prime is 12478284017. The reversal of 12478284000 is 48287421.

12478284000 is a `hidden beast` number, since 1 + 247 + 8 + 2 + 8 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42587854 + ... + 42588146.

It is an arithmetic number, because the mean of its divisors is an integer number (63647766).

Almost surely, 2^12478284000 is an apocalyptic number.

12478284000 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 12478284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27495834912).

12478284000 is an abundant number, since it is smaller than the sum of its proper divisors (42513385824).

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

12478284000 is a wasteful number, since it uses less digits than its factorization.

12478284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 323 counting only the distinct ones).

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

The spelling of 12478284000 in words is "twelve billion, four hundred seventy-eight million, two hundred eighty-four thousand".