12012840288 has 576 divisors, whose sum is σ = 40581777600. Its totient is φ = 3344302080.

The previous prime is 12012840263. The next prime is 12012840289. The reversal of 12012840288 is 88204821021.

12012840288 is a `hidden beast` number, since 120 + 128 + 402 + 8 + 8 = 666.

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 (12012840289) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 164559420 + ... + 164559492.

It is an arithmetic number, because the mean of its divisors is an integer number (70454475).

Almost surely, 2^12012840288 is an apocalyptic number.

12012840288 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 12012840288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290888800).

12012840288 is an abundant number, since it is smaller than the sum of its proper divisors (28568937312).

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

12012840288 is a wasteful number, since it uses less digits than its factorization.

12012840288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 12012840288 in words is "twelve billion, twelve million, eight hundred forty thousand, two hundred eighty-eight".