122832 has 30 divisors (see below), whose sum is σ = 344162. Its totient is φ = 40896.

The previous prime is 122827. The next prime is 122833. The reversal of 122832 is 238221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 46656 = 276^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122833) by changing a digit.

122832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283 + ... + 570.

2¹²²⁸³² is an apocalyptic number.

122832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122832 is an abundant number, since it is smaller than the sum of its proper divisors (221330).

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

122832 is a wasteful number, since it uses less digits than its factorization.

122832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122832 is about 350.4739647962. The cubic root of 122832 is about 49.7092458511.

The spelling of 122832 in words is "one hundred twenty-two thousand, eight hundred thirty-two".