120033040 has 20 divisors (see below), whose sum is σ = 279077004. Its totient is φ = 48013184.

The previous prime is 120033029. The next prime is 120033041. The reversal of 120033040 is 40330021.

It can be written as a sum of positive squares in 2 ways, for example, as 54228496 + 65804544 = 7364^2 + 8112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 120033040.

It is not an unprimeable number, because it can be changed into a prime (120033041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750127 + ... + 750286.

Almost surely, 2^120033040 is an apocalyptic number.

120033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120033040 is an abundant number, since it is smaller than the sum of its proper divisors (159043964).

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

120033040 is a wasteful number, since it uses less digits than its factorization.

120033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500426 (or 1500420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 120033040 is about 10955.9591090876. The cubic root of 120033040 is about 493.2876794048.

Adding to 120033040 its reverse (40330021), we get a palindrome (160363061).

The spelling of 120033040 in words is "one hundred twenty million, thirty-three thousand, forty".