12441065011200 has 2016 divisors, whose sum is σ = 55984317086880. Its totient is φ = 2675441664000.

The previous prime is 12441065011163. The next prime is 12441065011223. The reversal of 12441065011200 is 211056014421.

12441065011200 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 1 + 0 + 650 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×12441065011200² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4441649800 + ... + 4441652600.

It is an arithmetic number, because the mean of its divisors is an integer number (27769998555).

Almost surely, 2^{12441065011200} is an apocalyptic number.

12441065011200 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 12441065011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992158543440).

12441065011200 is an abundant number, since it is smaller than the sum of its proper divisors (43543252075680).

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

12441065011200 is an equidigital number, since it uses as much as digits as its factorization.

12441065011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12441065011200 in words is "twelve trillion, four hundred forty-one billion, sixty-five million, eleven thousand, two hundred".