3120242000200 has 192 divisors, whose sum is σ = 7946801528400. Its totient is φ = 1132329369600.

The previous prime is 3120242000191. The next prime is 3120242000237. The reversal of 3120242000200 is 20002420213.

It can be written as a sum of positive squares in 24 ways, for example, as 788213698596 + 2332028301604 = 887814^2 + 1527098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227266936 + ... + 227280664.

Almost surely, 2^{3120242000200} 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 3120242000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973400764200).

3120242000200 is an abundant number, since it is smaller than the sum of its proper divisors (4826559528200).

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

3120242000200 is a wasteful number, since it uses less digits than its factorization.

3120242000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15252 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 3120242000200 its reverse (20002420213), we get a palindrome (3140244420413).

The spelling of 3120242000200 in words is "three trillion, one hundred twenty billion, two hundred forty-two million, two hundred", and thus it is an aban number.