12521800 has 48 divisors (see below), whose sum is σ = 29389860. Its totient is φ = 4961280.

The previous prime is 12521797. The next prime is 12521801. The reversal of 12521800 is 812521.

It can be written as a sum of positive squares in 6 ways, for example, as 7584516 + 4937284 = 2754^2 + 2222^2 .

It is not an unprimeable number, because it can be changed into a prime (12521801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27172 + ... + 27628.

Almost surely, 2^12521800 is an apocalyptic number.

12521800 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 12521800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694930).

12521800 is an abundant number, since it is smaller than the sum of its proper divisors (16868060).

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

12521800 is a wasteful number, since it uses less digits than its factorization.

12521800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12521800 is about 3538.6155484879. The cubic root of 12521800 is about 232.2142788411.

The spelling of 12521800 in words is "twelve million, five hundred twenty-one thousand, eight hundred".