321200 has 60 divisors (see below), whose sum is σ = 853368. Its totient is φ = 115200.

The previous prime is 321199. The next prime is 321203. The reversal of 321200 is 2123.

321200 = 38³ + 39³ + ... + 42³.

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

It is not an unprimeable number, because it can be changed into a prime (321203) 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, 4364 + ... + 4436.

2³²¹²⁰⁰ 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 321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426684).

321200 is an abundant number, since it is smaller than the sum of its proper divisors (532168).

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

321200 is a wasteful number, since it uses less digits than its factorization.

321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

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

The square root of 321200 is about 566.7450926122. The cubic root of 321200 is about 68.4844300130.

Adding to 321200 its reverse (2123), we get a palindrome (323323).

The spelling of 321200 in words is "three hundred twenty-one thousand, two hundred", and thus it is an iban number.