12044155323200 has 1344 divisors, whose sum is σ = 41364427507200. Its totient is φ = 3329438515200.

The previous prime is 12044155323191. The next prime is 12044155323223. The reversal of 12044155323200 is 232355144021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11936724296 + ... + 11936725304.

It is an arithmetic number, because the mean of its divisors is an integer number (30777103800).

Almost surely, 2^{12044155323200} is an apocalyptic number.

12044155323200 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 12044155323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682213753600).

12044155323200 is an abundant number, since it is smaller than the sum of its proper divisors (29320272184000).

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

12044155323200 is a wasteful number, since it uses less digits than its factorization.

12044155323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 12044155323200 in words is "twelve trillion, forty-four billion, one hundred fifty-five million, three hundred twenty-three thousand, two hundred".