12500000800 has 144 divisors (see below), whose sum is σ = 35017883712. Its totient is φ = 4268160000.

The previous prime is 12500000753. The next prime is 12500000879. The reversal of 12500000800 is 800000521.

It is a happy number.

It is a sliding number, since 12500000800 = 800 + 12500000000 and 1/800 + 1/12500000000 = 0.0012500000800.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 1401154 + ... + 1410046.

It is an arithmetic number, because the mean of its divisors is an integer number (243179748).

Almost surely, 2^12500000800 is an apocalyptic number.

12500000800 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 12500000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508941856).

12500000800 is an abundant number, since it is smaller than the sum of its proper divisors (22517882912).

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

12500000800 is a wasteful number, since it uses less digits than its factorization.

12500000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

It can be divided in two parts, 12500000 and 800, that multiplied together give a 10-th power (10000000000 = 10¹⁰).

The spelling of 12500000800 in words is "twelve billion, five hundred million, eight hundred", and thus it is an aban number.