10424221200 has 180 divisors, whose sum is σ = 37342276608. Its totient is φ = 2690092800.

The previous prime is 10424221147. The next prime is 10424221217. The reversal of 10424221200 is 212242401.

10424221200 is a `hidden beast` number, since 1 + 0 + 42 + 422 + 1 + 200 = 666.

10424221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 64897 + ... + 158303.

Almost surely, 2^10424221200 is an apocalyptic number.

10424221200 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 10424221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671138304).

10424221200 is an abundant number, since it is smaller than the sum of its proper divisors (26918055408).

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

10424221200 is a wasteful number, since it uses less digits than its factorization.

10424221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93462 (or 93448 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10424221200 its reverse (212242401), we get a palindrome (10636463601).

The spelling of 10424221200 in words is "ten billion, four hundred twenty-four million, two hundred twenty-one thousand, two hundred".