3120411200 has 168 divisors, whose sum is σ = 8227542600. Its totient is φ = 1160642560.

The previous prime is 3120411181. The next prime is 3120411227. The reversal of 3120411200 is 21140213.

It can be written as a sum of positive squares in 12 ways, for example, as 439657024 + 2680754176 = 20968^2 + 51776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2420156 + ... + 2421444.

Almost surely, 2^3120411200 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 3120411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113771300).

3120411200 is an abundant number, since it is smaller than the sum of its proper divisors (5107131400).

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

3120411200 is a wasteful number, since it uses less digits than its factorization.

3120411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3120411200 is about 55860.6408842577. The cubic root of 3120411200 is about 1461.2929061430.

Adding to 3120411200 its reverse (21140213), we get a palindrome (3141551413).

The spelling of 3120411200 in words is "three billion, one hundred twenty million, four hundred eleven thousand, two hundred".