12033033120 has 144 divisors (see below), whose sum is σ = 41098337280. Its totient is φ = 3206026752.

The previous prime is 12033033059. The next prime is 12033033137. The reversal of 12033033120 is 2133033021.

12033033120 is a `hidden beast` number, since 1 + 2 + 0 + 330 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12033033093 and 12033033102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2069257 + ... + 2075063.

It is an arithmetic number, because the mean of its divisors is an integer number (285405120).

Almost surely, 2^12033033120 is an apocalyptic number.

12033033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549168640).

12033033120 is an abundant number, since it is smaller than the sum of its proper divisors (29065304160).

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

12033033120 is a wasteful number, since it uses less digits than its factorization.

12033033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033033120 its reverse (2133033021), we get a palindrome (14166066141).

Subtracting from 12033033120 its reverse (2133033021), we obtain a palindrome (9900000099).

The spelling of 12033033120 in words is "twelve billion, thirty-three million, thirty-three thousand, one hundred twenty".