12133333321200 has 960 divisors, whose sum is σ = 54588298347520. Its totient is φ = 2490803343360.

The previous prime is 12133333321183. The next prime is 12133333321271. The reversal of 12133333321200 is 212333333121.

12133333321200 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 333 + 321 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 36196767 + ... + 36530433.

Almost surely, 2^{12133333321200} is an apocalyptic number.

12133333321200 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 12133333321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294149173760).

12133333321200 is an abundant number, since it is smaller than the sum of its proper divisors (42454965026320).

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

12133333321200 is a wasteful number, since it uses less digits than its factorization.

12133333321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333751 (or 333734 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12133333321200 its reverse (212333333121), we get a palindrome (12345666654321).

It can be divided in two parts, 12133 and 333321200, that added together give a palindrome (333333333).

The spelling of 12133333321200 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred twenty-one thousand, two hundred".