12445502400000 has 1440 divisors, whose sum is σ = 47798533823040. Its totient is φ = 3110215680000.

The previous prime is 12445502399999. The next prime is 12445502400083. The reversal of 12445502400000 is 420554421.

12445502400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17553599646 + ... + 17553600354.

It is an arithmetic number, because the mean of its divisors is an integer number (33193426266).

Almost surely, 2^{12445502400000} is an apocalyptic number.

12445502400000 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 12445502400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899266911520).

12445502400000 is an abundant number, since it is smaller than the sum of its proper divisors (35353031423040).

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

12445502400000 is an frugal number, since it uses more digits than its factorization.

12445502400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 12445502400000 its reverse (420554421), we get a palindrome (12445922954421).

The spelling of 12445502400000 in words is "twelve trillion, four hundred forty-five billion, five hundred two million, four hundred thousand".