12000886638804 has 288 divisors, whose sum is σ = 36460079824896. Its totient is φ = 3254069998080.

The previous prime is 12000886638779. The next prime is 12000886638817. The reversal of 12000886638804 is 40883668800021.

12000886638804 is a `hidden beast` number, since 120 + 0 + 0 + 88 + 66 + 388 + 0 + 4 = 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, 2359125949 + ... + 2359131035.

It is an arithmetic number, because the mean of its divisors is an integer number (126597499392).

Almost surely, 2^{12000886638804} is an apocalyptic number.

12000886638804 is a gapful number since it is divisible by the number (14) 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 12000886638804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230039912448).

12000886638804 is an abundant number, since it is smaller than the sum of its proper divisors (24459193186092).

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

12000886638804 is a wasteful number, since it uses less digits than its factorization.

12000886638804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 12000886638804 in words is "twelve trillion, eight hundred eighty-six million, six hundred thirty-eight thousand, eight hundred four".