12182019408 has 320 divisors, whose sum is σ = 39197491200. Its totient is φ = 3597073920.

The previous prime is 12182019403. The next prime is 12182019431. The reversal of 12182019408 is 80491028121.

It is a happy number.

12182019408 is a `hidden beast` number, since 1 + 218 + 20 + 19 + 408 = 666.

12182019408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12182019403) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29073823 + ... + 29074241.

It is an arithmetic number, because the mean of its divisors is an integer number (122492160).

Almost surely, 2^12182019408 is an apocalyptic number.

12182019408 is a gapful number since it is divisible by the number (18) 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 12182019408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598745600).

12182019408 is an abundant number, since it is smaller than the sum of its proper divisors (27015471792).

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

12182019408 is a wasteful number, since it uses less digits than its factorization.

12182019408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12182019408 in words is "twelve billion, one hundred eighty-two million, nineteen thousand, four hundred eight".