10222120320 has 256 divisors, whose sum is σ = 33309446400. Its totient is φ = 2665783296.

The previous prime is 10222120283. The next prime is 10222120331. The reversal of 10222120320 is 2302122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222120320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29458387 + ... + 29458733.

It is an arithmetic number, because the mean of its divisors is an integer number (130115025).

Almost surely, 2^10222120320 is an apocalyptic number.

10222120320 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 10222120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654723200).

10222120320 is an abundant number, since it is smaller than the sum of its proper divisors (23087326080).

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

10222120320 is a wasteful number, since it uses less digits than its factorization.

10222120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222120320 its reverse (2302122201), we get a palindrome (12524242521).

The spelling of 10222120320 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twenty".