123280 has 40 divisors (see below), whose sum is σ = 303552. Its totient is φ = 46464.

The previous prime is 123269. The next prime is 123289. The reversal of 123280 is 82321.

123280 = T₂₄ + T₂₅ + ... + T₉₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (123289) 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, 1807 + ... + 1873.

2¹²³²⁸⁰ is an apocalyptic number.

123280 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 123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776).

123280 is an abundant number, since it is smaller than the sum of its proper divisors (180272).

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

123280 is a wasteful number, since it uses less digits than its factorization.

123280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 123280 is about 351.1125175781. The cubic root of 123280 is about 49.7696066756.

The spelling of 123280 in words is "one hundred twenty-three thousand, two hundred eighty".