312200 has 48 divisors (see below), whose sum is σ = 833280. Its totient is φ = 106560.

The previous prime is 312199. The next prime is 312203. The reversal of 312200 is 2213.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2³¹²²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

312200 is an abundant number, since it is smaller than the sum of its proper divisors (521080).

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

312200 is a wasteful number, since it uses less digits than its factorization.

312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 312200 is about 558.7486017880. The cubic root of 312200 is about 67.8387181213.

Adding to 312200 its reverse (2213), we get a palindrome (314413).

It can be divided in two parts, 312 and 200, that added together give a 9-th power (512 = 2⁹).

The spelling of 312200 in words is "three hundred twelve thousand, two hundred", and thus it is an iban number.