12184638036480 has 1680 divisors, whose sum is σ = 54215966027520. Its totient is φ = 2570358915072.

The previous prime is 12184638036463. The next prime is 12184638036503. The reversal of 12184638036480 is 8463083648121.

It is a happy number.

12184638036480 is a `hidden beast` number, since 1 + 2 + 1 + 84 + 6 + 3 + 80 + 3 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2207759161 + ... + 2207764679.

Almost surely, 2^{12184638036480} is an apocalyptic number.

12184638036480 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 12184638036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107983013760).

12184638036480 is an abundant number, since it is smaller than the sum of its proper divisors (42031327991040).

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

12184638036480 is an frugal number, since it uses more digits than its factorization.

12184638036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 12184638036480 in words is "twelve trillion, one hundred eighty-four billion, six hundred thirty-eight million, thirty-six thousand, four hundred eighty".