321125200 has 120 divisors (see below), whose sum is σ = 856596960. Its totient is φ = 114700800.

The previous prime is 321125191. The next prime is 321125209. The reversal of 321125200 is 2521123.

It is an interprime number because it is at equal distance from previous prime (321125191) and next prime (321125209).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321125209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258982 + ... + 260218.

It is an arithmetic number, because the mean of its divisors is an integer number (7138308).

Almost surely, 2^321125200 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 321125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428298480).

321125200 is an abundant number, since it is smaller than the sum of its proper divisors (535471760).

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

321125200 is a wasteful number, since it uses less digits than its factorization.

321125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 321125200 is about 17919.9665178259. The cubic root of 321125200 is about 684.7911345731.

Adding to 321125200 its reverse (2521123), we get a palindrome (323646323).

It can be divided in two parts, 321 and 125200, that added together give a palindrome (125521).

The spelling of 321125200 in words is "three hundred twenty-one million, one hundred twenty-five thousand, two hundred".