12182973083424 has 960 divisors, whose sum is σ = 44420189425920. Its totient is φ = 3222832250880.

The previous prime is 12182973083383. The next prime is 12182973083429. The reversal of 12182973083424 is 42438037928121.

12182973083424 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 297 + 3 + 0 + 8 + 342 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12182973083429) 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, 758724804 + ... + 758740860.

It is an arithmetic number, because the mean of its divisors is an integer number (46271030652).

Almost surely, 2^{12182973083424} 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 12182973083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22210094712960).

12182973083424 is an abundant number, since it is smaller than the sum of its proper divisors (32237216342496).

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

12182973083424 is a wasteful number, since it uses less digits than its factorization.

12182973083424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16215 (or 16198 counting only the distinct ones).

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

The spelling of 12182973083424 in words is "twelve trillion, one hundred eighty-two billion, nine hundred seventy-three million, eighty-three thousand, four hundred twenty-four".