12717075339072 has 560 divisors, whose sum is σ = 42785888154240. Its totient is φ = 3702491762688.

The previous prime is 12717075339019. The next prime is 12717075339161. The reversal of 12717075339072 is 27093357071721.

12717075339072 is a `hidden beast` number, since 1 + 2 + 7 + 17 + 0 + 7 + 533 + 90 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1135751778 + ... + 1135762974.

It is an arithmetic number, because the mean of its divisors is an integer number (76403371704).

Almost surely, 2^{12717075339072} is an apocalyptic number.

12717075339072 is a gapful number since it is divisible by the number (12) 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 12717075339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392944077120).

12717075339072 is an abundant number, since it is smaller than the sum of its proper divisors (30068812815168).

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

12717075339072 is a wasteful number, since it uses less digits than its factorization.

12717075339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 12717075339072 in words is "twelve trillion, seven hundred seventeen billion, seventy-five million, three hundred thirty-nine thousand, seventy-two".