33120204120 has 96 divisors (see below), whose sum is σ = 107663212800. Its totient is φ = 8830204416.

The previous prime is 33120204059. The next prime is 33120204121. The reversal of 33120204120 is 2140202133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33120204093 and 33120204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120204121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3131401 + ... + 3141959.

It is an arithmetic number, because the mean of its divisors is an integer number (1121491800).

Almost surely, 2^33120204120 is an apocalyptic number.

33120204120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120204120 is an abundant number, since it is smaller than the sum of its proper divisors (74543008680).

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

33120204120 is a wasteful number, since it uses less digits than its factorization.

33120204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19289 (or 19282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33120204120 its reverse (2140202133), we get a palindrome (35260406253).

The spelling of 33120204120 in words is "thirty-three billion, one hundred twenty million, two hundred four thousand, one hundred twenty".