3121000000 has 98 divisors (see below), whose sum is σ = 7743924314. Its totient is φ = 1248000000.

The previous prime is 3120999977. The next prime is 3121000031. The reversal of 3121000000 is 1213.

It can be written as a sum of positive squares in 7 ways, for example, as 2618164224 + 502835776 = 51168^2 + 22424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998440 + ... + 1001560.

Almost surely, 2^3121000000 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 3121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871962157).

3121000000 is an abundant number, since it is smaller than the sum of its proper divisors (4622924314).

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

3121000000 is an frugal number, since it uses more digits than its factorization.

3121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3128 counting only the distinct ones).

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

The square root of 3121000000 is about 55865.9108938537. The cubic root of 3121000000 is about 1461.3848123156.

Adding to 3121000000 its reverse (1213), we get a palindrome (3121001213).

The spelling of 3121000000 in words is "three billion, one hundred twenty-one million", and thus it is an aban number.