12002441204400 has 960 divisors, whose sum is σ = 43082863770240. Its totient is φ = 2843187609600.

The previous prime is 12002441204363. The next prime is 12002441204401. The reversal of 12002441204400 is 440214420021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12002441204401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3236029746 + ... + 3236033454.

It is an arithmetic number, because the mean of its divisors is an integer number (44877983094).

Almost surely, 2^{12002441204400} is an apocalyptic number.

12002441204400 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 12002441204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21541431885120).

12002441204400 is an abundant number, since it is smaller than the sum of its proper divisors (31080422565840).

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

12002441204400 is a wasteful number, since it uses less digits than its factorization.

12002441204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12002441204400 its reverse (440214420021), we get a palindrome (12442655624421).

The spelling of 12002441204400 in words is "twelve trillion, two billion, four hundred forty-one million, two hundred four thousand, four hundred".