3113210220120 has 1536 divisors, whose sum is σ = 14687592192000. Its totient is φ = 550376570880.

The previous prime is 3113210220119. The next prime is 3113210220143. The reversal of 3113210220120 is 210220123113.

3113210220120 is a `hidden beast` number, since 3 + 1 + 1 + 321 + 0 + 220 + 120 = 666.

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 = 3113210220093 and 3113210220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 253326936 + ... + 253339224.

It is an arithmetic number, because the mean of its divisors is an integer number (9562234500).

Almost surely, 2^{3113210220120} is an apocalyptic number.

3113210220120 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 3113210220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343796096000).

3113210220120 is an abundant number, since it is smaller than the sum of its proper divisors (11574381971880).

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

3113210220120 is a wasteful number, since it uses less digits than its factorization.

3113210220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12393 (or 12386 counting only the distinct ones).

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

Adding to 3113210220120 its reverse (210220123113), we get a palindrome (3323430343233).

The spelling of 3113210220120 in words is "three trillion, one hundred thirteen billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".