123930 has 56 divisors (see below), whose sum is σ = 354132. Its totient is φ = 31104.

The previous prime is 123923. The next prime is 123931. The reversal of 123930 is 39321.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 729 = 351^2 + 27^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (123931) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7282 + ... + 7298.

2¹²³⁹³⁰ is an apocalyptic number.

123930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177066).

123930 is an abundant number, since it is smaller than the sum of its proper divisors (230202).

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

123930 is an equidigital number, since it uses as much as digits as its factorization.

123930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 123930 is about 352.0369298809. The cubic root of 123930 is about 49.8569243108.

The spelling of 123930 in words is "one hundred twenty-three thousand, nine hundred thirty".