12500800 has 84 divisors (see below), whose sum is σ = 33181036. Its totient is φ = 4608000.

The previous prime is 12500779. The next prime is 12500809. The reversal of 12500800 is 800521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 12222016 = 528^2 + 3496^2 .

It is a sliding number, since 12500800 = 800 + 12500000 and 1/800 + 1/12500000 = 0.0012500800.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12500809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20500 + ... + 21100.

Almost surely, 2^12500800 is an apocalyptic number.

12500800 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 12500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590518).

12500800 is an abundant number, since it is smaller than the sum of its proper divisors (20680236).

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

12500800 is a wasteful number, since it uses less digits than its factorization.

12500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

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

The square root of 12500800 is about 3535.6470412076. The cubic root of 12500800 is about 232.0843926031.

It can be divided in two parts, 12500 and 800, that multiplied together give a 7-th power (10000000 = 10⁷).

The spelling of 12500800 in words is "twelve million, five hundred thousand, eight hundred".