231205120 has 36 divisors (see below), whose sum is σ = 553811580. Its totient is φ = 92481536.

The previous prime is 231205111. The next prime is 231205127. The reversal of 231205120 is 21502132.

It can be written as a sum of positive squares in 2 ways, for example, as 184090624 + 47114496 = 13568^2 + 6864^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231205094 and 231205103.

It is not an unprimeable number, because it can be changed into a prime (231205127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89035 + ... + 91594.

It is an arithmetic number, because the mean of its divisors is an integer number (15383655).

Almost surely, 2^231205120 is an apocalyptic number.

231205120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231205120 is an abundant number, since it is smaller than the sum of its proper divisors (322606460).

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

231205120 is an equidigital number, since it uses as much as digits as its factorization.

231205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180650 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 231205120 is about 15205.4306088318. The cubic root of 231205120 is about 613.7608026106.

Adding to 231205120 its reverse (21502132), we get a palindrome (252707252).

It can be divided in two parts, 23120 and 5120, that multiplied together give a square (118374400 = 10880²).

The spelling of 231205120 in words is "two hundred thirty-one million, two hundred five thousand, one hundred twenty".