123880 has 32 divisors (see below), whose sum is σ = 295200. Its totient is φ = 46656.

The previous prime is 123863. The next prime is 123887. The reversal of 123880 is 88321.

123880 = T₆₁ + T₆₂ + ... + T₉₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123887) by changing a digit.

123880 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, 679 + ... + 841.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2¹²³⁸⁸⁰ is an apocalyptic number.

123880 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 123880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

123880 is an abundant number, since it is smaller than the sum of its proper divisors (171320).

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

123880 is a wasteful number, since it uses less digits than its factorization.

123880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 123880 is about 351.9659074399. The cubic root of 123880 is about 49.8502184243.

The spelling of 123880 in words is "one hundred twenty-three thousand, eight hundred eighty".