123180 has 24 divisors (see below), whose sum is σ = 345072. Its totient is φ = 32832.

The previous prime is 123169. The next prime is 123191. The reversal of 123180 is 81321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123169) and next prime (123191).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

123180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (14378).

2¹²³¹⁸⁰ is an apocalyptic number.

123180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123180 is an abundant number, since it is smaller than the sum of its proper divisors (221892).

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

123180 is a wasteful number, since it uses less digits than its factorization.

123180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123180 is about 350.9700841952. The cubic root of 123180 is about 49.7561459710.

It can be divided in two parts, 123 and 180, that added together give a palindrome (303).

The spelling of 123180 in words is "one hundred twenty-three thousand, one hundred eighty".