12611716512 has 96 divisors (see below), whose sum is σ = 33561666432. Its totient is φ = 4146315264.

The previous prime is 12611716487. The next prime is 12611716529. The reversal of 12611716512 is 21561711621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12611716512² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2912493 + ... + 2916819.

It is an arithmetic number, because the mean of its divisors is an integer number (349600692).

Almost surely, 2^12611716512 is an apocalyptic number.

12611716512 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 12611716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780833216).

12611716512 is an abundant number, since it is smaller than the sum of its proper divisors (20949949920).

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

12611716512 is a wasteful number, since it uses less digits than its factorization.

12611716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4742 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The spelling of 12611716512 in words is "twelve billion, six hundred eleven million, seven hundred sixteen thousand, five hundred twelve".