120065033 has 12 divisors (see below), whose sum is σ = 139737780. Its totient is φ = 102727680.

The previous prime is 120064979. The next prime is 120065041. The reversal of 120065033 is 330560021.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 40284409 = 8932^2 + 6347^2 .

It is not a de Polignac number, because 120065033 - 2⁶ = 120064969 is a prime.

It is a super-2 number, since 2×120065033² = 28831224298582178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120064996 and 120065014.

It is not an unprimeable number, because it can be changed into a prime (120065053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27128 + ... + 31241.

It is an arithmetic number, because the mean of its divisors is an integer number (11644815).

Almost surely, 2^120065033 is an apocalyptic number.

It is an amenable number.

120065033 is a deficient number, since it is larger than the sum of its proper divisors (19672747).

120065033 is a wasteful number, since it uses less digits than its factorization.

120065033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58408 (or 58397 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 120065033 is about 10957.4190848028. The cubic root of 120065033 is about 493.3315016469.

The spelling of 120065033 in words is "one hundred twenty million, sixty-five thousand, thirty-three".