12711603756000 has 768 divisors, whose sum is σ = 45158354841600. Its totient is φ = 3118639104000.

The previous prime is 12711603755993. The next prime is 12711603756023. The reversal of 12711603756000 is 65730611721.

12711603756000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12711603756000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 613513641 + ... + 613534359.

It is an arithmetic number, because the mean of its divisors is an integer number (58799941200).

Almost surely, 2^{12711603756000} is an apocalyptic number.

12711603756000 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 12711603756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579177420800).

12711603756000 is an abundant number, since it is smaller than the sum of its proper divisors (32446751085600).

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

12711603756000 is a wasteful number, since it uses less digits than its factorization.

12711603756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860 (or 20842 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 12711603756000 in words is "twelve trillion, seven hundred eleven billion, six hundred three million, seven hundred fifty-six thousand".