311120 has 20 divisors (see below), whose sum is σ = 723540. Its totient is φ = 124416.

The previous prime is 311111. The next prime is 311123. The reversal of 311120 is 21113.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 141376 = 412^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 311098 and 311107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311123) by changing a digit.

311120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1865 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (36177).

2³¹¹¹²⁰ is an apocalyptic number.

It is an amenable number.

311120 is an abundant number, since it is smaller than the sum of its proper divisors (412420).

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

311120 is a wasteful number, since it uses less digits than its factorization.

311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 311120 is about 557.7813191565. The cubic root of 311120 is about 67.7604024459.

Adding to 311120 its reverse (21113), we get a palindrome (332233).

The spelling of 311120 in words is "three hundred eleven thousand, one hundred twenty", and thus it is an iban number.