231120 has 80 divisors (see below), whose sum is σ = 803520. Its totient is φ = 61056.

The previous prime is 231109. The next prime is 231131. The reversal of 231120 is 21132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231109) and next prime (231131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

231120 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 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2²³¹¹²⁰ is an apocalyptic number.

231120 is a gapful number since it is divisible by the number (20) 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 231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

231120 is an abundant number, since it is smaller than the sum of its proper divisors (572400).

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

231120 is a wasteful number, since it uses less digits than its factorization.

231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 231120 is about 480.7494149762. The cubic root of 231120 is about 61.3685473062.

Adding to 231120 its product of nonzero digits (12), we get a palindrome (231132).

Adding to 231120 its reverse (21132), we get a palindrome (252252).

It can be divided in two parts, 231 and 120, that added together give a triangular number (351 = T₂₆).

The spelling of 231120 in words is "two hundred thirty-one thousand, one hundred twenty".