12531200 has 120 divisors (see below), whose sum is σ = 34250040. Its totient is φ = 4505600.

The previous prime is 12531191. The next prime is 12531209. The reversal of 12531200 is 213521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12531191) and next prime (12531209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531209) 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, 140756 + ... + 140844.

It is an arithmetic number, because the mean of its divisors is an integer number (285417).

Almost surely, 2^12531200 is an apocalyptic number.

12531200 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 12531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125020).

12531200 is an abundant number, since it is smaller than the sum of its proper divisors (21718840).

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

12531200 is an equidigital number, since it uses as much as digits as its factorization.

12531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12531200 is about 3539.9435023740. The cubic root of 12531200 is about 232.2723713476.

Adding to 12531200 its reverse (213521), we get a palindrome (12744721).

The spelling of 12531200 in words is "twelve million, five hundred thirty-one thousand, two hundred".