33120001120 has 144 divisors (see below), whose sum is σ = 83636673120. Its totient is φ = 12391153664.

The previous prime is 33120001111. The next prime is 33120001129. The reversal of 33120001120 is 2110002133.

It is an interprime number because it is at equal distance from previous prime (33120001111) and next prime (33120001129).

It is a self number, because there is not a number n which added to its sum of digits gives 33120001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120001129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7719936 + ... + 7724224.

It is an arithmetic number, because the mean of its divisors is an integer number (580810230).

Almost surely, 2^33120001120 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 33120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818336560).

33120001120 is an abundant number, since it is smaller than the sum of its proper divisors (50516672000).

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

33120001120 is a wasteful number, since it uses less digits than its factorization.

33120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 33120001120 its reverse (2110002133), we get a palindrome (35230003253).

The spelling of 33120001120 in words is "thirty-three billion, one hundred twenty million, one thousand, one hundred twenty".