12011330003200 has 432 divisors, whose sum is σ = 33007903358976. Its totient is φ = 4290964070400.

The previous prime is 12011330003171. The next prime is 12011330003201. The reversal of 12011330003200 is 230003311021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12011330003201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920895879 + ... + 920908921.

Almost surely, 2^{12011330003200} is an apocalyptic number.

12011330003200 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 12011330003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503951679488).

12011330003200 is an abundant number, since it is smaller than the sum of its proper divisors (20996573355776).

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

12011330003200 is a wasteful number, since it uses less digits than its factorization.

12011330003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12011330003200 its reverse (230003311021), we get a palindrome (12241333314221).

The spelling of 12011330003200 in words is "twelve trillion, eleven billion, three hundred thirty million, three thousand, two hundred".