12309805872 has 900 divisors, whose sum is σ = 47578044096. Its totient is φ = 3056901120.

The previous prime is 12309805853. The next prime is 12309805889. The reversal of 12309805872 is 27850890321.

It is a happy number.

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 179 ways as a sum of consecutive naturals, for example, 332697438 + ... + 332697474.

Almost surely, 2^12309805872 is an apocalyptic number.

12309805872 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 12309805872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789022048).

12309805872 is an abundant number, since it is smaller than the sum of its proper divisors (35268238224).

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

12309805872 is a wasteful number, since it uses less digits than its factorization.

12309805872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12309805872 in words is "twelve billion, three hundred nine million, eight hundred five thousand, eight hundred seventy-two".