12181845312 has 1120 divisors, whose sum is σ = 49567795200. Its totient is φ = 2926264320.

The previous prime is 12181845301. The next prime is 12181845391. The reversal of 12181845312 is 21354818121.

It is a happy number.

12181845312 is a `hidden beast` number, since 12 + 181 + 8 + 453 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 392962737 + ... + 392962767.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^12181845312 is an apocalyptic number.

12181845312 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 12181845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783897600).

12181845312 is an abundant number, since it is smaller than the sum of its proper divisors (37385949888).

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

12181845312 is a wasteful number, since it uses less digits than its factorization.

12181845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 12181845312 in words is "twelve billion, one hundred eighty-one million, eight hundred forty-five thousand, three hundred twelve".