12883233024 has 216 divisors, whose sum is σ = 39379704000. Its totient is φ = 4039372800.

The previous prime is 12883233017. The next prime is 12883233031. The reversal of 12883233024 is 42033238821.

12883233024 is a `hidden beast` number, since 1 + 28 + 8 + 323 + 302 + 4 = 666.

12883233024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12883233017) and next prime (12883233031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12883233024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6609202 + ... + 6611150.

Almost surely, 2^12883233024 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 12883233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689852000).

12883233024 is an abundant number, since it is smaller than the sum of its proper divisors (26496470976).

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

12883233024 is a wasteful number, since it uses less digits than its factorization.

12883233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12883233024 in words is "twelve billion, eight hundred eighty-three million, two hundred thirty-three thousand, twenty-four".