12284618112 has 672 divisors, whose sum is σ = 42844069800. Its totient is φ = 3493601280.

The previous prime is 12284618083. The next prime is 12284618173. The reversal of 12284618112 is 21181648221.

12284618112 is a `hidden beast` number, since 1 + 2 + 28 + 4 + 618 + 1 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 299624812 + ... + 299624852.

Almost surely, 2^12284618112 is an apocalyptic number.

12284618112 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 12284618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422034900).

12284618112 is an abundant number, since it is smaller than the sum of its proper divisors (30559451688).

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

12284618112 is an equidigital number, since it uses as much as digits as its factorization.

12284618112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The spelling of 12284618112 in words is "twelve billion, two hundred eighty-four million, six hundred eighteen thousand, one hundred twelve".