12444516000 has 1152 divisors, whose sum is σ = 54948741120. Its totient is φ = 2706048000.

The previous prime is 12444515977. The next prime is 12444516037. The reversal of 12444516000 is 61544421.

12444516000 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 51 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210923971 + ... + 210924029.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^12444516000 is an apocalyptic number.

12444516000 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 12444516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474370560).

12444516000 is an abundant number, since it is smaller than the sum of its proper divisors (42504225120).

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

12444516000 is an equidigital number, since it uses as much as digits as its factorization.

12444516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12444516000 in words is "twelve billion, four hundred forty-four million, five hundred sixteen thousand".