22231013020320 has 384 divisors, whose sum is σ = 75769213363200. Its totient is φ = 5446530367488.

The previous prime is 22231013020303. The next prime is 22231013020331. The reversal of 22231013020320 is 2302031013222.

It is a happy 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, 5716380936 + ... + 5716384824.

It is an arithmetic number, because the mean of its divisors is an integer number (197315659800).

Almost surely, 2^{22231013020320} is an apocalyptic number.

22231013020320 is a gapful number since it is divisible by the number (20) 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 22231013020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37884606681600).

22231013020320 is an abundant number, since it is smaller than the sum of its proper divisors (53538200342880).

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

22231013020320 is a wasteful number, since it uses less digits than its factorization.

22231013020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22231013020320 its reverse (2302031013222), we get a palindrome (24533044033542).

The spelling of 22231013020320 in words is "twenty-two trillion, two hundred thirty-one billion, thirteen million, twenty thousand, three hundred twenty".