12534200 has 72 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 4294080.

The previous prime is 12534191. The next prime is 12534209. The reversal of 12534200 is 243521.

It is an interprime number because it is at equal distance from previous prime (12534191) and next prime (12534209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 9161 + ... + 10439.

It is an arithmetic number, because the mean of its divisors is an integer number (471200).

Almost surely, 2^12534200 is an apocalyptic number.

12534200 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 12534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

12534200 is an abundant number, since it is smaller than the sum of its proper divisors (21392200).

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

12534200 is a wasteful number, since it uses less digits than its factorization.

12534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12534200 is about 3540.3672125925. The cubic root of 12534200 is about 232.2909053936.

Adding to 12534200 its reverse (243521), we get a palindrome (12777721).

The spelling of 12534200 in words is "twelve million, five hundred thirty-four thousand, two hundred".