10221124320 has 288 divisors, whose sum is σ = 39461385600. Its totient is φ = 2477744640.

The previous prime is 10221124313. The next prime is 10221124343. The reversal of 10221124320 is 2342112201.

It is a happy number.

10221124320 is a `hidden beast` number, since 1 + 0 + 221 + 12 + 432 + 0 = 666.

10221124320 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 (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 10221124293 and 10221124302.

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 47 ways as a sum of consecutive naturals, for example, 415731 + ... + 439629.

It is an arithmetic number, because the mean of its divisors is an integer number (137018700).

Almost surely, 2^10221124320 is an apocalyptic number.

10221124320 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 10221124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730692800).

10221124320 is an abundant number, since it is smaller than the sum of its proper divisors (29240261280).

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

10221124320 is a wasteful number, since it uses less digits than its factorization.

10221124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23940 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221124320 its reverse (2342112201), we get a palindrome (12563236521).

The spelling of 10221124320 in words is "ten billion, two hundred twenty-one million, one hundred twenty-four thousand, three hundred twenty".