3120213200 has 180 divisors, whose sum is σ = 8215615908. Its totient is φ = 1138176000.

The previous prime is 3120213199. The next prime is 3120213247. The reversal of 3120213200 is 23120213.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1669212736 + 1451000464 = 40856^2 + 38092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6827372 + ... + 6827828.

Almost surely, 2^3120213200 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 3120213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107807954).

3120213200 is an abundant number, since it is smaller than the sum of its proper divisors (5095402708).

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

3120213200 is a wasteful number, since it uses less digits than its factorization.

3120213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 578 counting only the distinct ones).

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

The square root of 3120213200 is about 55858.8685886136. The cubic root of 3120213200 is about 1461.2619975974.

Adding to 3120213200 its reverse (23120213), we get a palindrome (3143333413).

The spelling of 3120213200 in words is "three billion, one hundred twenty million, two hundred thirteen thousand, two hundred".