12444096000 has 640 divisors, whose sum is σ = 48535179264. Its totient is φ = 2769715200.

The previous prime is 12444095957. The next prime is 12444096001. The reversal of 12444096000 is 69044421.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63167902 + ... + 63168098.

Almost surely, 2^12444096000 is an apocalyptic number.

12444096000 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 12444096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267589632).

12444096000 is an abundant number, since it is smaller than the sum of its proper divisors (36091083264).

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

12444096000 is an equidigital number, since it uses as much as digits as its factorization.

12444096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12444096000 in words is "twelve billion, four hundred forty-four million, ninety-six thousand".