12044225534400 has 420 divisors, whose sum is σ = 45351357171120. Its totient is φ = 3133455667200.

The previous prime is 12044225534381. The next prime is 12044225534401. The reversal of 12044225534400 is 443552244021.

12044225534400 is a `hidden beast` number, since 1 + 2 + 0 + 44 + 22 + 553 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044225534401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4180261 + ... + 6446939.

It is an arithmetic number, because the mean of its divisors is an integer number (107979421836).

Almost surely, 2^{12044225534400} is an apocalyptic number.

12044225534400 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 12044225534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22675678585560).

12044225534400 is an abundant number, since it is smaller than the sum of its proper divisors (33307131636720).

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

12044225534400 is a wasteful number, since it uses less digits than its factorization.

12044225534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266754 (or 2266730 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 12044225534400 its reverse (443552244021), we get a palindrome (12487777778421).

The spelling of 12044225534400 in words is "twelve trillion, forty-four billion, two hundred twenty-five million, five hundred thirty-four thousand, four hundred".