3121203200 has 72 divisors (see below), whose sum is σ = 7738821090. Its totient is φ = 1248460800.

The previous prime is 3121203199. The next prime is 3121203209. The reversal of 3121203200 is 23021213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1218847744 + 1902355456 = 34912^2 + 43616^2 .

It is not an unprimeable number, because it can be changed into a prime (3121203209) 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, 20720 + ... + 81680.

Almost surely, 2^3121203200 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 3121203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869410545).

3121203200 is an abundant number, since it is smaller than the sum of its proper divisors (4617617890).

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

3121203200 is an equidigital number, since it uses as much as digits as its factorization.

3121203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60993 (or 60968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3121203200 is about 55867.7295046076. The cubic root of 3121203200 is about 1461.4165272520.

Adding to 3121203200 its reverse (23021213), we get a palindrome (3144224413).

The spelling of 3121203200 in words is "three billion, one hundred twenty-one million, two hundred three thousand, two hundred".