12011618304 has 360 divisors, whose sum is σ = 41220361728. Its totient is φ = 3423928320.

The previous prime is 12011618299. The next prime is 12011618347. The reversal of 12011618304 is 40381611021.

It is a happy number.

12011618304 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 618 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 27868969 + ... + 27869399.

Almost surely, 2^12011618304 is an apocalyptic number.

12011618304 is a gapful number since it is divisible by the number (14) 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 12011618304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610180864).

12011618304 is an abundant number, since it is smaller than the sum of its proper divisors (29208743424).

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

12011618304 is an frugal number, since it uses more digits than its factorization.

12011618304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12011618304 in words is "twelve billion, eleven million, six hundred eighteen thousand, three hundred four".