12033333312 has 896 divisors, whose sum is σ = 47191818240. Its totient is φ = 2601123840.

The previous prime is 12033333281. The next prime is 12033333331. The reversal of 12033333312 is 21333333021.

It is a super-2 number, since 2×12033333312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94750593 + ... + 94750719.

It is an arithmetic number, because the mean of its divisors is an integer number (52669440).

Almost surely, 2^12033333312 is an apocalyptic number.

12033333312 is a gapful number since it is divisible by the number (12) 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 12033333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595909120).

12033333312 is an abundant number, since it is smaller than the sum of its proper divisors (35158484928).

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

12033333312 is a wasteful number, since it uses less digits than its factorization.

12033333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 12033333312 its reverse (21333333021), we get a palindrome (33366666333).

The spelling of 12033333312 in words is "twelve billion, thirty-three million, three hundred thirty-three thousand, three hundred twelve".