3123200 has 72 divisors (see below), whose sum is σ = 7870590. Its totient is φ = 1228800.

The previous prime is 3123187. The next prime is 3123203. The reversal of 3123200 is 23213.

3123200 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 1401856 + 1721344 = 1184^2 + 1312^2 .

It is not an unprimeable number, because it can be changed into a prime (3123203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51170 + ... + 51230.

Almost surely, 2^3123200 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 3123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935295).

3123200 is an abundant number, since it is smaller than the sum of its proper divisors (4747390).

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

3123200 is an equidigital number, since it uses as much as digits as its factorization.

3123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3123200 is about 1767.2577627500. The cubic root of 3123200 is about 146.1728109491.

Adding to 3123200 its reverse (23213), we get a palindrome (3146413).

The spelling of 3123200 in words is "three million, one hundred twenty-three thousand, two hundred".