12405708000 has 576 divisors, whose sum is σ = 52986286080. Its totient is φ = 2685312000.

The previous prime is 12405707969. The next prime is 12405708013. The reversal of 12405708000 is 80750421.

12405708000 is a `hidden beast` number, since 12 + 4 + 0 + 570 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4786705 + ... + 4789295.

It is an arithmetic number, because the mean of its divisors is an integer number (91990080).

Almost surely, 2^12405708000 is an apocalyptic number.

12405708000 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 12405708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26493143040).

12405708000 is an abundant number, since it is smaller than the sum of its proper divisors (40580578080).

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

12405708000 is a wasteful number, since it uses less digits than its factorization.

12405708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12405708000 in words is "twelve billion, four hundred five million, seven hundred eight thousand".