123006 has 32 divisors (see below), whose sum is σ = 282240. Its totient is φ = 35424.

The previous prime is 123001. The next prime is 123007. The reversal of 123006 is 600321.

It is a junction number, because it is equal to n+sod(n) for n = 122982 and 123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹²³⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

123006 is an abundant number, since it is smaller than the sum of its proper divisors (159234).

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

123006 is a wasteful number, since it uses less digits than its factorization.

123006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

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

The square root of 123006 is about 350.7221122199. The cubic root of 123006 is about 49.7327069683.

Adding to 123006 its reverse (600321), we get a palindrome (723327).

The spelling of 123006 in words is "one hundred twenty-three thousand, six".