33120120132 has 240 divisors, whose sum is σ = 100872414720. Its totient is φ = 9376819200.

The previous prime is 33120120119. The next prime is 33120120139. The reversal of 33120120132 is 23102102133.

33120120132 is a `hidden beast` number, since 331 + 201 + 2 + 0 + 132 = 666.

It is a super-2 number, since 2×33120120132² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33120120139) 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 79 ways as a sum of consecutive naturals, for example, 3198868 + ... + 3209204.

It is an arithmetic number, because the mean of its divisors is an integer number (420301728).

Almost surely, 2^33120120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33120120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50436207360).

33120120132 is an abundant number, since it is smaller than the sum of its proper divisors (67752294588).

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

33120120132 is a wasteful number, since it uses less digits than its factorization.

33120120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33120120132 its reverse (23102102133), we get a palindrome (56222222265).

The spelling of 33120120132 in words is "thirty-three billion, one hundred twenty million, one hundred twenty thousand, one hundred thirty-two".