12000916550304 has 960 divisors, whose sum is σ = 40687353907200. Its totient is φ = 3434672609280.

The previous prime is 12000916550303. The next prime is 12000916550317. The reversal of 12000916550304 is 40305561900021.

12000916550304 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 91 + 65 + 503 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12000916550303) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25697893879 + ... + 25697894345.

It is an arithmetic number, because the mean of its divisors is an integer number (42382660320).

Almost surely, 2^{12000916550304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000916550304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343676953600).

12000916550304 is an abundant number, since it is smaller than the sum of its proper divisors (28686437356896).

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

12000916550304 is a wasteful number, since it uses less digits than its factorization.

12000916550304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12000916550304 in words is "twelve trillion, nine hundred sixteen million, five hundred fifty thousand, three hundred four".