12046608000 has 1536 divisors, whose sum is σ = 56595801600. Its totient is φ = 2388787200.

The previous prime is 12046607941. The next prime is 12046608031. The reversal of 12046608000 is 80664021.

12046608000 is a `hidden beast` number, since 12 + 0 + 46 + 608 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325583982 + ... + 325584018.

It is an arithmetic number, because the mean of its divisors is an integer number (36846225).

Almost surely, 2^12046608000 is an apocalyptic number.

12046608000 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 12046608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28297900800).

12046608000 is an abundant number, since it is smaller than the sum of its proper divisors (44549193600).

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

12046608000 is a wasteful number, since it uses less digits than its factorization.

12046608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12046608000 in words is "twelve billion, forty-six million, six hundred eight thousand".