123888 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 39424.

The previous prime is 123887. The next prime is 123911. The reversal of 123888 is 888321.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123888.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹²³⁸⁸⁸ 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 123888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

123888 is an abundant number, since it is smaller than the sum of its proper divisors (210912).

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

123888 is a wasteful number, since it uses less digits than its factorization.

123888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 123888 is about 351.9772719935. The cubic root of 123888 is about 49.8512914874.

It can be divided in two parts, 1238 and 88, that added together give a triangular number (1326 = T₅₁).

The spelling of 123888 in words is "one hundred twenty-three thousand, eight hundred eighty-eight".