3031130121120 has 240 divisors, whose sum is σ = 10717161490728. Its totient is φ = 806805411840.

The previous prime is 3031130121113. The next prime is 3031130121167. The reversal of 3031130121120 is 211210311303.

3031130121120 is a `hidden beast` number, since 30 + 311 + 301 + 2 + 1 + 1 + 20 = 666.

3031130121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1945924561296 + 1085205559824 = 1394964^2 + 1041732^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3031130121120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3031130121093 and 3031130121102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6795202 + ... + 7227518.

Almost surely, 2^{3031130121120} is an apocalyptic number.

3031130121120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031130121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358580745364).

3031130121120 is an abundant number, since it is smaller than the sum of its proper divisors (7686031369608).

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

3031130121120 is a wasteful number, since it uses less digits than its factorization.

3031130121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432885 (or 432868 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3031130121120 its reverse (211210311303), we get a palindrome (3242340432423).

The spelling of 3031130121120 in words is "three trillion, thirty-one billion, one hundred thirty million, one hundred twenty-one thousand, one hundred twenty".