123123 has 32 divisors (see below), whose sum is σ = 225792. Its totient is φ = 57600.

The previous prime is 123121. The next prime is 123127. The reversal of 123123 is 321321.

It is a happy number.

It is not a de Polignac number, because 123123 - 2¹ = 123121 is a prime.

It is a D-number.

123123 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 123099 and 123108.

It is not an unprimeable number, because it can be changed into a prime (123121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2983 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹²³¹²³ is an apocalyptic number.

123123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123123 is a deficient number, since it is larger than the sum of its proper divisors (102669).

123123 is a wasteful number, since it uses less digits than its factorization.

123123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its digits is 36, while the sum is 12.

The square root of 123123 is about 350.8888712969. Note that the first 4 decimals coincide. The cubic root of 123123 is about 49.7484701094.

Adding to 123123 its reverse (321321), we get a palindrome (444444).

The spelling of 123123 in words is "one hundred twenty-three thousand, one hundred twenty-three", and thus it is an iban number.