33120001023104 has 32 divisors (see below), whose sum is σ = 67385108476800. Its totient is φ = 16207660072192.

The previous prime is 33120001023103. The next prime is 33120001023133. The reversal of 33120001023104 is 40132010002133.

33120001023104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (33120001023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2752653644 + ... + 2752665675.

It is an arithmetic number, because the mean of its divisors is an integer number (2105784639900).

Almost surely, 2^{33120001023104} is an apocalyptic number.

It is an amenable number.

33120001023104 is an abundant number, since it is smaller than the sum of its proper divisors (34265107453696).

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

33120001023104 is an equidigital number, since it uses as much as digits as its factorization.

33120001023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505319380 (or 5505319368 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33120001023104 its reverse (40132010002133), we get a palindrome (73252011025237).

The spelling of 33120001023104 in words is "thirty-three trillion, one hundred twenty billion, one million, twenty-three thousand, one hundred four".