12011434424200 has 96 divisors (see below), whose sum is σ = 28381314729600. Its totient is φ = 4726825160960.

The previous prime is 12011434424161. The next prime is 12011434424201. The reversal of 12011434424200 is 242443411021.

It is not an unprimeable number, because it can be changed into a prime (12011434424201) 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 23 ways as a sum of consecutive naturals, for example, 2453634 + ... + 5481166.

It is an arithmetic number, because the mean of its divisors is an integer number (295638695100).

Almost surely, 2^{12011434424200} is an apocalyptic number.

12011434424200 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 12011434424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190657364800).

12011434424200 is an abundant number, since it is smaller than the sum of its proper divisors (16369880305400).

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

12011434424200 is a wasteful number, since it uses less digits than its factorization.

12011434424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027871 (or 3027862 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12011434424200 its reverse (242443411021), we get a palindrome (12253877835221).

The spelling of 12011434424200 in words is "twelve trillion, eleven billion, four hundred thirty-four million, four hundred twenty-four thousand, two hundred".