120033 has 6 divisors (see below), whose sum is σ = 173394. Its totient is φ = 80016.

The previous prime is 120017. The next prime is 120041. The reversal of 120033 is 330021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91809 + 28224 = 303^2 + 168^2 .

It is not a de Polignac number, because 120033 - 2⁴ = 120017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13337 = 120033 / (1 + 2 + 0 + 0 + 3 + 3).

120033 is a modest number, since divided by 33 gives 12 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 119997 and 120024.

It is not an unprimeable number, because it can be changed into a prime (120233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6660 + ... + 6677.

It is an arithmetic number, because the mean of its divisors is an integer number (28899).

2¹²⁰⁰³³ is an apocalyptic number.

It is an amenable number.

120033 is a deficient number, since it is larger than the sum of its proper divisors (53361).

120033 is a wasteful number, since it uses less digits than its factorization.

120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13343 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 120033 is about 346.4577896368. The cubic root of 120033 is about 49.3287624610.

Adding to 120033 its reverse (330021), we get a palindrome (450054).

The spelling of 120033 in words is "one hundred twenty thousand, thirty-three".