123032 has 32 divisors (see below), whose sum is σ = 285600. Its totient is φ = 48672.

The previous prime is 123031. The next prime is 123049. The reversal of 123032 is 230321.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9458 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (8925).

2¹²³⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800).

123032 is an abundant number, since it is smaller than the sum of its proper divisors (162568).

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

123032 is an equidigital number, since it uses as much as digits as its factorization.

123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 123032 is about 350.7591766440. The cubic root of 123032 is about 49.7362107521.

Adding to 123032 its reverse (230321), we get a palindrome (353353).

The spelling of 123032 in words is "one hundred twenty-three thousand, thirty-two".