12605104103200 has 288 divisors, whose sum is σ = 35319083184000. Its totient is φ = 4303249735680.

The previous prime is 12605104103177. The next prime is 12605104103233. The reversal of 12605104103200 is 230140150621.

It is a happy number.

12605104103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12605104103200⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502929407 + ... + 1502937793.

It is an arithmetic number, because the mean of its divisors is an integer number (122635705500).

Almost surely, 2^{12605104103200} is an apocalyptic number.

12605104103200 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 12605104103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659541592000).

12605104103200 is an abundant number, since it is smaller than the sum of its proper divisors (22713979080800).

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

12605104103200 is a wasteful number, since it uses less digits than its factorization.

12605104103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 12605104103200 its reverse (230140150621), we get a palindrome (12835244253821).

The spelling of 12605104103200 in words is "twelve trillion, six hundred five billion, one hundred four million, one hundred three thousand, two hundred".