12711075840 has 504 divisors, whose sum is σ = 46747186668. Its totient is φ = 3192913920.

The previous prime is 12711075821. The next prime is 12711075857. The reversal of 12711075840 is 4857011721.

12711075840 is a `hidden beast` number, since 1 + 2 + 71 + 1 + 0 + 7 + 584 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2472873984 + 10238201856 = 49728^2 + 101184^2 .

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 = 12711075795 and 12711075804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310026220 + ... + 310026260.

Almost surely, 2^12711075840 is an apocalyptic number.

12711075840 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 12711075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373593334).

12711075840 is an abundant number, since it is smaller than the sum of its proper divisors (34036110828).

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

12711075840 is an equidigital number, since it uses as much as digits as its factorization.

12711075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12711075840 in words is "twelve billion, seven hundred eleven million, seventy-five thousand, eight hundred forty".