12509200800 has 216 divisors, whose sum is σ = 44189046720. Its totient is φ = 3329856000.

The previous prime is 12509200793. The next prime is 12509200807. The reversal of 12509200800 is 800290521.

It is an interprime number because it is at equal distance from previous prime (12509200793) and next prime (12509200807).

It is not an unprimeable number, because it can be changed into a prime (12509200807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5319625 + ... + 5321975.

It is an arithmetic number, because the mean of its divisors is an integer number (204578920).

Almost surely, 2^12509200800 is an apocalyptic number.

12509200800 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 12509200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22094523360).

12509200800 is an abundant number, since it is smaller than the sum of its proper divisors (31679845920).

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

12509200800 is a wasteful number, since it uses less digits than its factorization.

12509200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12509200800 in words is "twelve billion, five hundred nine million, two hundred thousand, eight hundred".