3121032012 has 216 divisors, whose sum is σ = 9198008064. Its totient is φ = 805305600.

The previous prime is 3121032011. The next prime is 3121032037. The reversal of 3121032012 is 2102301213.

It is a junction number, because it is equal to n+sod(n) for n = 3121031982 and 3121032000.

It is not an unprimeable number, because it can be changed into a prime (3121032011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76122712 + ... + 76122752.

Almost surely, 2^3121032012 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 3121032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599004032).

3121032012 is an abundant number, since it is smaller than the sum of its proper divisors (6076976052).

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

3121032012 is a wasteful number, since it uses less digits than its factorization.

3121032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3121032012 is about 55866.1974005749. The cubic root of 3121032012 is about 1461.3898087580.

Adding to 3121032012 its reverse (2102301213), we get a palindrome (5223333225).

The spelling of 3121032012 in words is "three billion, one hundred twenty-one million, thirty-two thousand, twelve".