120007033 has 2 divisors, whose sum is σ = 120007034. Its totient is φ = 120007032.

The previous prime is 120007001. The next prime is 120007037. The reversal of 120007033 is 330700021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110502144 + 9504889 = 10512^2 + 3083^2 .

It is a cyclic number.

It is not a de Polignac number, because 120007033 - 2⁵ = 120007001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120006998 and 120007016.

It is not a weakly prime, because it can be changed into another prime (120007037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60003516 + 60003517.

It is an arithmetic number, because the mean of its divisors is an integer number (60003517).

Almost surely, 2^120007033 is an apocalyptic number.

It is an amenable number.

120007033 is a deficient number, since it is larger than the sum of its proper divisors (1).

120007033 is an equidigital number, since it uses as much as digits as its factorization.

120007033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 120007033 is about 10954.7721564622. The cubic root of 120007033 is about 493.2520507165.

Adding to 120007033 its reverse (330700021), we get a palindrome (450707054).

The spelling of 120007033 in words is "one hundred twenty million, seven thousand, thirty-three".