12831032880 has 640 divisors, whose sum is σ = 50332492800. Its totient is φ = 2984656896.

The previous prime is 12831032873. The next prime is 12831032887. The reversal of 12831032880 is 8823013821.

12831032880 is a `hidden beast` number, since 12 + 8 + 310 + 328 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12831032873) and next prime (12831032887).

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

It is not an unprimeable number, because it can be changed into a prime (12831032887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36976867 + ... + 36977213.

It is an arithmetic number, because the mean of its divisors is an integer number (78644520).

Almost surely, 2^12831032880 is an apocalyptic number.

12831032880 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 12831032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166246400).

12831032880 is an abundant number, since it is smaller than the sum of its proper divisors (37501459920).

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

12831032880 is a wasteful number, since it uses less digits than its factorization.

12831032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12831032880 in words is "twelve billion, eight hundred thirty-one million, thirty-two thousand, eight hundred eighty".