3112341120 has 192 divisors, whose sum is σ = 12282791040. Its totient is φ = 711383040.

The previous prime is 3112341031. The next prime is 3112341137. The reversal of 3112341120 is 211432113.

3112341120 is a `hidden beast` number, since 311 + 2 + 341 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 3112341093 and 3112341102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725 + ... + 78915.

It is an arithmetic number, because the mean of its divisors is an integer number (63972870).

Almost surely, 2^3112341120 is an apocalyptic number.

3112341120 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 3112341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141395520).

3112341120 is an abundant number, since it is smaller than the sum of its proper divisors (9170449920).

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

3112341120 is a wasteful number, since it uses less digits than its factorization.

3112341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77223 (or 77208 counting only the distinct ones).

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

The square root of 3112341120 is about 55788.3600762740. The cubic root of 3112341120 is about 1460.0320753571.

Adding to 3112341120 its reverse (211432113), we get a palindrome (3323773233).

The spelling of 3112341120 in words is "three billion, one hundred twelve million, three hundred forty-one thousand, one hundred twenty".