12032824320 has 704 divisors, whose sum is σ = 48035393280. Its totient is φ = 2831155200.

The previous prime is 12032824291. The next prime is 12032824327. The reversal of 12032824320 is 2342823021.

12032824320 is a `hidden beast` number, since 1 + 203 + 28 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×12032824320² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032824327) 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 63 ways as a sum of consecutive naturals, for example, 62346144 + ... + 62346336.

Almost surely, 2^12032824320 is an apocalyptic number.

12032824320 is a gapful number since it is divisible by the number (10) 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 12032824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017696640).

12032824320 is an abundant number, since it is smaller than the sum of its proper divisors (36002568960).

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

12032824320 is a wasteful number, since it uses less digits than its factorization.

12032824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12032824320 in words is "twelve billion, thirty-two million, eight hundred twenty-four thousand, three hundred twenty".