3112114320 has 240 divisors, whose sum is σ = 11975483520. Its totient is φ = 709502976.

The previous prime is 3112114309. The next prime is 3112114321. The reversal of 3112114320 is 234112113.

3112114320 is a `hidden beast` number, since 311 + 21 + 14 + 320 = 666.

3112114320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3112114293 and 3112114302.

It is not an unprimeable number, because it can be changed into a prime (3112114321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3320892 + ... + 3321828.

It is an arithmetic number, because the mean of its divisors is an integer number (49897848).

Almost surely, 2^3112114320 is an apocalyptic number.

3112114320 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 3112114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987741760).

3112114320 is an abundant number, since it is smaller than the sum of its proper divisors (8863369200).

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

3112114320 is a wasteful number, since it uses less digits than its factorization.

3112114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1613 counting only the distinct ones).

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

The square root of 3112114320 is about 55786.3273571580. The cubic root of 3112114320 is about 1459.9966097375.

Adding to 3112114320 its reverse (234112113), we get a palindrome (3346226433).

The spelling of 3112114320 in words is "three billion, one hundred twelve million, one hundred fourteen thousand, three hundred twenty".