12033040212224 has 72 divisors (see below), whose sum is σ = 24645059180952. Its totient is φ = 5860197089280.

The previous prime is 12033040212211. The next prime is 12033040212227. The reversal of 12033040212224 is 42221204033021.

It can be written as a sum of positive squares in 4 ways, for example, as 30751129600 + 12002289082624 = 175360^2 + 3464432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12033040212193 and 12033040212202.

It is not an unprimeable number, because it can be changed into a prime (12033040212227) 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 7 ways as a sum of consecutive naturals, for example, 5498942 + ... + 7369154.

Almost surely, 2^{12033040212224} 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 12033040212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322529590476).

12033040212224 is an abundant number, since it is smaller than the sum of its proper divisors (12612018968728).

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

12033040212224 is an equidigital number, since it uses as much as digits as its factorization.

12033040212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870883 (or 1870869 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12033040212224 its reverse (42221204033021), we get a palindrome (54254244245245).

The spelling of 12033040212224 in words is "twelve trillion, thirty-three billion, forty million, two hundred twelve thousand, two hundred twenty-four".