12711327840 has 192 divisors, whose sum is σ = 44599403520. Its totient is φ = 3381327360.

The previous prime is 12711327817. The next prime is 12711327917. The reversal of 12711327840 is 4872311721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12711327795 and 12711327804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858507 + ... + 1865333.

It is an arithmetic number, because the mean of its divisors is an integer number (232288560).

Almost surely, 2^12711327840 is an apocalyptic number.

12711327840 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 12711327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299701760).

12711327840 is an abundant number, since it is smaller than the sum of its proper divisors (31888075680).

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

12711327840 is a wasteful number, since it uses less digits than its factorization.

12711327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12711327840 in words is "twelve billion, seven hundred eleven million, three hundred twenty-seven thousand, eight hundred forty".