12211140441200 has 120 divisors (see below), whose sum is σ = 29408634936720. Its totient is φ = 4872587776000.

The previous prime is 12211140441169. The next prime is 12211140441263. The reversal of 12211140441200 is 214404111221.

It is a super-2 number, since 2×12211140441200² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 285706232 + ... + 285748968.

It is an arithmetic number, because the mean of its divisors is an integer number (245071957806).

Almost surely, 2^{12211140441200} is an apocalyptic number.

12211140441200 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 12211140441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704317468360).

12211140441200 is an abundant number, since it is smaller than the sum of its proper divisors (17197494495520).

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

12211140441200 is a wasteful number, since it uses less digits than its factorization.

12211140441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44475 (or 44464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 12211140441200 its reverse (214404111221), we get a palindrome (12425544552421).

The spelling of 12211140441200 in words is "twelve trillion, two hundred eleven billion, one hundred forty million, four hundred forty-one thousand, two hundred".