120006 has 24 divisors (see below), whose sum is σ = 266760. Its totient is φ = 38976.

The previous prime is 119993. The next prime is 120011. The reversal of 120006 is 600021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 120006.

It is a congruent number.

It is an unprimeable number.

120006 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 11 ways as a sum of consecutive naturals, for example, 1006 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

120006 is a Friedman number, since it can be written as 20001*6, using all its digits and the basic arithmetic operations.

2¹²⁰⁰⁰⁶ is an apocalyptic number.

120006 is an abundant number, since it is smaller than the sum of its proper divisors (146754).

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

120006 is a wasteful number, since it uses less digits than its factorization.

120006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120006 is about 346.4188216596. The cubic root of 120006 is about 49.3250635436.

Adding to 120006 its reverse (600021), we get a palindrome (720027).

The spelling of 120006 in words is "one hundred twenty thousand, six".