12078284400 has 1080 divisors, whose sum is σ = 55031165280. Its totient is φ = 2426941440.

The previous prime is 12078284369. The next prime is 12078284411. The reversal of 12078284400 is 448287021.

12078284400 is a `hidden beast` number, since 1 + 207 + 8 + 2 + 8 + 440 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52743486 + ... + 52743714.

Almost surely, 2^12078284400 is an apocalyptic number.

12078284400 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 12078284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27515582640).

12078284400 is an abundant number, since it is smaller than the sum of its proper divisors (42952880880).

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

12078284400 is a wasteful number, since it uses less digits than its factorization.

12078284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

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

The spelling of 12078284400 in words is "twelve billion, seventy-eight million, two hundred eighty-four thousand, four hundred".