3120213203120 has 160 divisors (see below), whose sum is σ = 8001027901440. Its totient is φ = 1124419230720.

The previous prime is 3120213203077. The next prime is 3120213203209. The reversal of 3120213203120 is 213023120213.

3120213203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3120213203092 and 3120213203101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17459015 + ... + 17636825.

It is an arithmetic number, because the mean of its divisors is an integer number (50006424384).

Almost surely, 2^{3120213203120} 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 3120213203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000513950720).

3120213203120 is an abundant number, since it is smaller than the sum of its proper divisors (4880814698320).

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

3120213203120 is a wasteful number, since it uses less digits than its factorization.

3120213203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178243 (or 178237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3120213203120 its reverse (213023120213), we get a palindrome (3333236323333).

The spelling of 3120213203120 in words is "three trillion, one hundred twenty billion, two hundred thirteen million, two hundred three thousand, one hundred twenty".