123080 has 32 divisors (see below), whose sum is σ = 294840. Its totient is φ = 46080.

The previous prime is 123077. The next prime is 123083. The reversal of 123080 is 80321.

Added to its reverse (80321) it gives a square (203401 = 451²).

It is an interprime number because it is at equal distance from previous prime (123077) and next prime (123083).

It can be written as a sum of positive squares in 4 ways, for example, as 77284 + 45796 = 278^2 + 214^2 .

It is not an unprimeable number, because it can be changed into a prime (123083) 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, 590 + ... + 770.

2¹²³⁰⁸⁰ is an apocalyptic number.

123080 is a gapful number since it is divisible by the number (10) 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 123080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

123080 is an abundant number, since it is smaller than the sum of its proper divisors (171760).

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

123080 is a wasteful number, since it uses less digits than its factorization.

123080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 123080 is about 350.8275929855. The cubic root of 123080 is about 49.7426779794.

Adding to 123080 its reverse (80321), we get a square (203401 = 451²).

The spelling of 123080 in words is "one hundred twenty-three thousand, eighty".