3130212120120 has 384 divisors, whose sum is σ = 10709052456960. Its totient is φ = 791847613440.

The previous prime is 3130212120047. The next prime is 3130212120131. The reversal of 3130212120120 is 210212120313.

3130212120120 is a `hidden beast` number, since 31 + 302 + 1 + 212 + 0 + 120 = 666.

It is a super-2 number, since 2×3130212120120² (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 = 3130212120093 and 3130212120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078266589 + ... + 1078269491.

It is an arithmetic number, because the mean of its divisors is an integer number (27888157440).

Almost surely, 2^{3130212120120} is an apocalyptic number.

3130212120120 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 3130212120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354526228480).

3130212120120 is an abundant number, since it is smaller than the sum of its proper divisors (7578840336840).

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

3130212120120 is a wasteful number, since it uses less digits than its factorization.

3130212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3130212120120 its reverse (210212120313), we get a palindrome (3340424240433).

The spelling of 3130212120120 in words is "three trillion, one hundred thirty billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".