12231288576 has 288 divisors, whose sum is σ = 40218071040. Its totient is φ = 3641241600.

The previous prime is 12231288569. The next prime is 12231288581. The reversal of 12231288576 is 67588213221.

12231288576 is a `hidden beast` number, since 1 + 22 + 31 + 28 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 2783341 + ... + 2787731.

It is an arithmetic number, because the mean of its divisors is an integer number (139646080).

Almost surely, 2^12231288576 is an apocalyptic number.

12231288576 is a gapful number since it is divisible by the number (16) 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 12231288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109035520).

12231288576 is an abundant number, since it is smaller than the sum of its proper divisors (27986782464).

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

12231288576 is a wasteful number, since it uses less digits than its factorization.

12231288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4440 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12231288576 in words is "twelve billion, two hundred thirty-one million, two hundred eighty-eight thousand, five hundred seventy-six".