120300033 has 32 divisors (see below), whose sum is σ = 190632960. Its totient is φ = 66024000.

The previous prime is 120299999. The next prime is 120300127. The reversal of 120300033 is 330003021.

It is a happy number.

It is not a de Polignac number, because 120300033 - 2⁶ = 120299969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120299991 and 120300018.

It is not an unprimeable number, because it can be changed into a prime (120300133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152466 + ... + 153252.

It is an arithmetic number, because the mean of its divisors is an integer number (5957280).

Almost surely, 2^120300033 is an apocalyptic number.

It is an amenable number.

120300033 is a deficient number, since it is larger than the sum of its proper divisors (70332927).

120300033 is a wasteful number, since it uses less digits than its factorization.

120300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 120300033 is about 10968.1371709147. The cubic root of 120300033 is about 493.6531532960.

Adding to 120300033 its reverse (330003021), we get a palindrome (450303054).

The spelling of 120300033 in words is "one hundred twenty million, three hundred thousand, thirty-three".