12005584836 has 96 divisors (see below), whose sum is σ = 33149088000. Its totient is φ = 3308863488.

The previous prime is 12005584831. The next prime is 12005584837. The reversal of 12005584836 is 63848550021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12005584831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4600300 + ... + 4602908.

It is an arithmetic number, because the mean of its divisors is an integer number (345303000).

Almost surely, 2^12005584836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12005584836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574544000).

12005584836 is an abundant number, since it is smaller than the sum of its proper divisors (21143503164).

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

12005584836 is a wasteful number, since it uses less digits than its factorization.

12005584836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12005584836 in words is "twelve billion, five million, five hundred eighty-four thousand, eight hundred thirty-six".