12509900160 has 256 divisors, whose sum is σ = 42361367040. Its totient is φ = 3129311232.

The previous prime is 12509900159. The next prime is 12509900203. The reversal of 12509900160 is 6100990521.

12509900160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15895287 + ... + 15896073.

It is an arithmetic number, because the mean of its divisors is an integer number (165474090).

Almost surely, 2^12509900160 is an apocalyptic number.

12509900160 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 12509900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180683520).

12509900160 is an abundant number, since it is smaller than the sum of its proper divisors (29851466880).

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

12509900160 is a wasteful number, since it uses less digits than its factorization.

12509900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 12509900160 in words is "twelve billion, five hundred nine million, nine hundred thousand, one hundred sixty".