33120031120 has 40 divisors (see below), whose sum is σ = 84004444800. Its totient is φ = 12043647360.

The previous prime is 33120031033. The next prime is 33120031151. The reversal of 33120031120 is 2113002133.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33120031120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33120031094 and 33120031103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18817320 + ... + 18819079.

It is an arithmetic number, because the mean of its divisors is an integer number (2100111120).

Almost surely, 2^33120031120 is an apocalyptic number.

It is an amenable number.

33120031120 is an abundant number, since it is smaller than the sum of its proper divisors (50884413680).

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

33120031120 is a wasteful number, since it uses less digits than its factorization.

33120031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37636423 (or 37636417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33120031120 its reverse (2113002133), we get a palindrome (35233033253).

The spelling of 33120031120 in words is "thirty-three billion, one hundred twenty million, thirty-one thousand, one hundred twenty".