3120100000 has 144 divisors (see below), whose sum is σ = 7875480312. Its totient is φ = 1216000000.

The previous prime is 3120099989. The next prime is 3120100003. The reversal of 3120100000 is 10213.

It can be written as a sum of positive squares in 12 ways, for example, as 3026320144 + 93779856 = 55012^2 + 9684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120100003) by changing a digit.

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, 4099620 + ... + 4100380.

Almost surely, 2^3120100000 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 3120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937740156).

3120100000 is an abundant number, since it is smaller than the sum of its proper divisors (4755380312).

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

3120100000 is an frugal number, since it uses more digits than its factorization.

3120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 3120100000 is about 55857.8553114958. The cubic root of 3120100000 is about 1461.2443260637.

Adding to 3120100000 its reverse (10213), we get a palindrome (3120110213).

The spelling of 3120100000 in words is "three billion, one hundred twenty million, one hundred thousand".