12831186960 has 120 divisors (see below), whose sum is σ = 43575793560. Its totient is φ = 3383187456.

The previous prime is 12831186959. The next prime is 12831186961. The reversal of 12831186960 is 6968113821.

It is an interprime number because it is at equal distance from previous prime (12831186959) and next prime (12831186961).

It can be written as a sum of positive squares in 4 ways, for example, as 1138657536 + 11692529424 = 33744^2 + 108132^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12831186961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36039 + ... + 164198.

It is an arithmetic number, because the mean of its divisors is an integer number (363131613).

Almost surely, 2^12831186960 is an apocalyptic number.

12831186960 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 12831186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21787896780).

12831186960 is an abundant number, since it is smaller than the sum of its proper divisors (30744606600).

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

12831186960 is a wasteful number, since it uses less digits than its factorization.

12831186960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200345 (or 200336 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12831186960 in words is "twelve billion, eight hundred thirty-one million, one hundred eighty-six thousand, nine hundred sixty".