12084165184 has 189 divisors, whose sum is σ = 30406688361. Its totient is φ = 4748889600.

The previous prime is 12084165151. The next prime is 12084165187. The reversal of 12084165184 is 48156148021.

The square root of 12084165184 is 109928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1787598400 + 10296566784 = 42280^2 + 101472^2 .

It is not an unprimeable number, because it can be changed into a prime (12084165187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80027509 + ... + 80027659.

It is an arithmetic number, because the mean of its divisors is an integer number (160881949).

Almost surely, 2^12084165184 is an apocalyptic number.

12084165184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12084165184 is the 109928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084165184

12084165184 is an abundant number, since it is smaller than the sum of its proper divisors (18322523177).

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

12084165184 is an equidigital number, since it uses as much as digits as its factorization.

12084165184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 12084165184 in words is "twelve billion, eighty-four million, one hundred sixty-five thousand, one hundred eighty-four".