12288831024 has 160 divisors (see below), whose sum is σ = 33783552000. Its totient is φ = 3842979840.

The previous prime is 12288831019. The next prime is 12288831029. The reversal of 12288831024 is 42013888221.

12288831024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 110855²-1.

It is an interprime number because it is at equal distance from previous prime (12288831019) and next prime (12288831029).

It is not an unprimeable number, because it can be changed into a prime (12288831029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9532972 + ... + 9534260.

It is an arithmetic number, because the mean of its divisors is an integer number (211147200).

Almost surely, 2^12288831024 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 12288831024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891776000).

12288831024 is an abundant number, since it is smaller than the sum of its proper divisors (21494720976).

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

12288831024 is a wasteful number, since it uses less digits than its factorization.

12288831024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 12288831024 in words is "twelve billion, two hundred eighty-eight million, eight hundred thirty-one thousand, twenty-four".