12133333200 has 240 divisors, whose sum is σ = 40491158400. Its totient is φ = 3101952000.

The previous prime is 12133333087. The next prime is 12133333241. The reversal of 12133333200 is 233333121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5253646 + ... + 5255954.

It is an arithmetic number, because the mean of its divisors is an integer number (168713160).

Almost surely, 2^12133333200 is an apocalyptic number.

12133333200 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 12133333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245579200).

12133333200 is an abundant number, since it is smaller than the sum of its proper divisors (28357825200).

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

12133333200 is a wasteful number, since it uses less digits than its factorization.

12133333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12133333200 its reverse (233333121), we get a palindrome (12366666321).

The spelling of 12133333200 in words is "twelve billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred".