12305045760 has 288 divisors, whose sum is σ = 46365376512. Its totient is φ = 2721669120.

The previous prime is 12305045707. The next prime is 12305045771. The reversal of 12305045760 is 6754050321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825897 + ... + 840663.

Almost surely, 2^12305045760 is an apocalyptic number.

12305045760 is a gapful number since it is divisible by the number (10) 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 12305045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182688256).

12305045760 is an abundant number, since it is smaller than the sum of its proper divisors (34060330752).

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

12305045760 is a wasteful number, since it uses less digits than its factorization.

12305045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14815 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 12305045760 in words is "twelve billion, three hundred five million, forty-five thousand, seven hundred sixty".