12944624000 has 768 divisors, whose sum is σ = 43535232000. Its totient is φ = 3773952000.

The previous prime is 12944623969. The next prime is 12944624023. The reversal of 12944624000 is 42644921.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 95 ways as a sum of consecutive naturals, for example, 163855961 + ... + 163856039.

It is an arithmetic number, because the mean of its divisors is an integer number (56686500).

Almost surely, 2^12944624000 is an apocalyptic number.

12944624000 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 12944624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767616000).

12944624000 is an abundant number, since it is smaller than the sum of its proper divisors (30590608000).

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

12944624000 is a wasteful number, since it uses less digits than its factorization.

12944624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12944624000 in words is "twelve billion, nine hundred forty-four million, six hundred twenty-four thousand".