12013133200200 has 288 divisors, whose sum is σ = 44015551351200. Its totient is φ = 2912023296000.

The previous prime is 12013133200171. The next prime is 12013133200219. The reversal of 12013133200200 is 200233131021.

12013133200200 is a `hidden beast` number, since 1 + 2 + 0 + 131 + 332 + 0 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342344256 + ... + 342379344.

It is an arithmetic number, because the mean of its divisors is an integer number (152831775525).

Almost surely, 2^{12013133200200} is an apocalyptic number.

12013133200200 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 12013133200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007775675600).

12013133200200 is an abundant number, since it is smaller than the sum of its proper divisors (32002418151000).

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

12013133200200 is a wasteful number, since it uses less digits than its factorization.

12013133200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52413 (or 52401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013133200200 its reverse (200233131021), we get a palindrome (12213366331221).

The spelling of 12013133200200 in words is "twelve trillion, thirteen billion, one hundred thirty-three million, two hundred thousand, two hundred".