12445824000 has 176 divisors, whose sum is σ = 41400755136. Its totient is φ = 3318784000.

The previous prime is 12445823987. The next prime is 12445824019. The reversal of 12445824000 is 42854421.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367795 + ... + 400205.

Almost surely, 2^12445824000 is an apocalyptic number.

12445824000 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 12445824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700377568).

12445824000 is an abundant number, since it is smaller than the sum of its proper divisors (28954931136).

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

12445824000 is an equidigital number, since it uses as much as digits as its factorization.

12445824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32449 (or 32421 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 12445824000 in words is "twelve billion, four hundred forty-five million, eight hundred twenty-four thousand".