3112130211120 has 480 divisors, whose sum is σ = 12182513840640. Its totient is φ = 697249013760.

The previous prime is 3112130211101. The next prime is 3112130211121. The reversal of 3112130211120 is 211120312113.

3112130211120 is a `hidden beast` number, since 311 + 2 + 130 + 211 + 12 + 0 = 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 = 3112130211093 and 3112130211102.

It is not an unprimeable number, because it can be changed into a prime (3112130211121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103168840 + ... + 103199000.

It is an arithmetic number, because the mean of its divisors is an integer number (25380237168).

Almost surely, 2^{3112130211120} is an apocalyptic number.

3112130211120 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 3112130211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091256920320).

3112130211120 is an abundant number, since it is smaller than the sum of its proper divisors (9070383629520).

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

3112130211120 is a wasteful number, since it uses less digits than its factorization.

3112130211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30593 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3112130211120 its reverse (211120312113), we get a palindrome (3323250523233).

The spelling of 3112130211120 in words is "three trillion, one hundred twelve billion, one hundred thirty million, two hundred eleven thousand, one hundred twenty".