12442400012000 has 192 divisors, whose sum is σ = 35010039407616. Its totient is φ = 4257201369600.

The previous prime is 12442400011967. The next prime is 12442400012011. The reversal of 12442400012000 is 21000424421.

12442400012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13179767 + ... + 14092233.

It is an arithmetic number, because the mean of its divisors is an integer number (182343955248).

Almost surely, 2^{12442400012000} is an apocalyptic number.

12442400012000 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 12442400012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505019703808).

12442400012000 is an abundant number, since it is smaller than the sum of its proper divisors (22567639395616).

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

12442400012000 is an equidigital number, since it uses as much as digits as its factorization.

12442400012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912986 (or 912968 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12442400012000 its reverse (21000424421), we get a palindrome (12463400436421).

The spelling of 12442400012000 in words is "twelve trillion, four hundred forty-two billion, four hundred million, twelve thousand".