10012244424000 has 448 divisors, whose sum is σ = 40689770214912. Its totient is φ = 2112473088000.

The previous prime is 10012244423999. The next prime is 10012244424037. The reversal of 10012244424000 is 42444221001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108181 + ... + 4476180.

It is an arithmetic number, because the mean of its divisors is an integer number (90825379944).

Almost surely, 2^{10012244424000} is an apocalyptic number.

10012244424000 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 10012244424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20344885107456).

10012244424000 is an abundant number, since it is smaller than the sum of its proper divisors (30677525790912).

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

10012244424000 is a wasteful number, since it uses less digits than its factorization.

10012244424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584411 (or 4584391 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10012244424000 its reverse (42444221001), we get a palindrome (10054688645001).

The spelling of 10012244424000 in words is "ten trillion, twelve billion, two hundred forty-four million, four hundred twenty-four thousand".