12711860000 has 480 divisors, whose sum is σ = 38543662080. Its totient is φ = 4032000000.

The previous prime is 12711859961. The next prime is 12711860003. The reversal of 12711860000 is 6811721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12711860003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125859950 + ... + 125860050.

It is an arithmetic number, because the mean of its divisors is an integer number (80299296).

Almost surely, 2^12711860000 is an apocalyptic number.

12711860000 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 12711860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19271831040).

12711860000 is an abundant number, since it is smaller than the sum of its proper divisors (25831802080).

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

12711860000 is a wasteful number, since it uses less digits than its factorization.

12711860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 12711860000 in words is "twelve billion, seven hundred eleven million, eight hundred sixty thousand".