12592806912 has 660 divisors, whose sum is σ = 46022226096. Its totient is φ = 3357573120.

The previous prime is 12592806911. The next prime is 12592806913. The reversal of 12592806912 is 21960829521.

It is a happy number.

12592806912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12592806911) and next prime (12592806913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12592806911) 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 59 ways as a sum of consecutive naturals, for example, 307141612 + ... + 307141652.

Almost surely, 2^12592806912 is an apocalyptic number.

12592806912 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 12592806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011113048).

12592806912 is an abundant number, since it is smaller than the sum of its proper divisors (33429419184).

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

12592806912 is an equidigital number, since it uses as much as digits as its factorization.

12592806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12592806912 in words is "twelve billion, five hundred ninety-two million, eight hundred six thousand, nine hundred twelve".