12006712816 has 80 divisors (see below), whose sum is σ = 27865787904. Its totient is φ = 4900084992.

The previous prime is 12006712709. The next prime is 12006712819. The reversal of 12006712816 is 61821760021.

It is a super-2 number, since 2×12006712816² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006712819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574486 + ... + 595018.

Almost surely, 2^12006712816 is an apocalyptic number.

12006712816 is a gapful number since it is divisible by the number (16) 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 12006712816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932893952).

12006712816 is an abundant number, since it is smaller than the sum of its proper divisors (15859075088).

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

12006712816 is a wasteful number, since it uses less digits than its factorization.

12006712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20798 (or 20792 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 12006712816 in words is "twelve billion, six million, seven hundred twelve thousand, eight hundred sixteen".