12684071232000 has 3840 divisors, whose sum is σ = 57640182792192. Its totient is φ = 2719634227200.

The previous prime is 12684071231977. The next prime is 12684071232013. The reversal of 12684071232000 is 23217048621.

It is a happy number.

12684071232000 is a `hidden beast` number, since 1 + 26 + 8 + 407 + 1 + 23 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 189314495967 + ... + 189314496033.

Almost surely, 2^{12684071232000} is an apocalyptic number.

12684071232000 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 12684071232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820091396096).

12684071232000 is an abundant number, since it is smaller than the sum of its proper divisors (44956111560192).

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

12684071232000 is an frugal number, since it uses more digits than its factorization.

12684071232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12684071232000 in words is "twelve trillion, six hundred eighty-four billion, seventy-one million, two hundred thirty-two thousand".