12093184438272 has 1456 divisors, whose sum is σ = 44852626408960. Its totient is φ = 3181004587008.

The previous prime is 12093184438271. The next prime is 12093184438333. The reversal of 12093184438272 is 27283448139021.

12093184438272 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 3 + 184 + 438 + 27 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093184438271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14694026853 + ... + 14694027675.

Almost surely, 2^{12093184438272} is an apocalyptic number.

12093184438272 is a gapful number since it is divisible by the number (12) 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 12093184438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426313204480).

12093184438272 is an abundant number, since it is smaller than the sum of its proper divisors (32759441970688).

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

12093184438272 is an frugal number, since it uses more digits than its factorization.

12093184438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12093184438272 in words is "twelve trillion, ninety-three billion, one hundred eighty-four million, four hundred thirty-eight thousand, two hundred seventy-two".