12405178368 has 240 divisors, whose sum is σ = 39258648000. Its totient is φ = 3743416320.

The previous prime is 12405178351. The next prime is 12405178381. The reversal of 12405178368 is 86387150421.

12405178368 is a `hidden beast` number, since 12 + 40 + 517 + 83 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51904393 + ... + 51904631.

It is an arithmetic number, because the mean of its divisors is an integer number (163577700).

Almost surely, 2^12405178368 is an apocalyptic number.

12405178368 is a gapful number since it is divisible by the number (18) 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 12405178368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629324000).

12405178368 is an abundant number, since it is smaller than the sum of its proper divisors (26853469632).

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

12405178368 is an frugal number, since it uses more digits than its factorization.

12405178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12405178368 in words is "twelve billion, four hundred five million, one hundred seventy-eight thousand, three hundred sixty-eight".