12705716772 has 36 divisors (see below), whose sum is σ = 36705404736. Its totient is φ = 3630204720.

The previous prime is 12705716759. The next prime is 12705716773. The reversal of 12705716772 is 27761750721.

12705716772 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 571 + 6 + 7 + 72 = 666.

12705716772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12705716772² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12705716773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25209504 + ... + 25210007.

It is an arithmetic number, because the mean of its divisors is an integer number (1019594576).

Almost surely, 2^12705716772 is an apocalyptic number.

12705716772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12705716772 is an abundant number, since it is smaller than the sum of its proper divisors (23999687964).

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

12705716772 is a wasteful number, since it uses less digits than its factorization.

12705716772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50419528 (or 50419523 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 12705716772 in words is "twelve billion, seven hundred five million, seven hundred sixteen thousand, seven hundred seventy-two".