10222123320 has 128 divisors (see below), whose sum is σ = 34342502400. Its totient is φ = 2704399488.

The previous prime is 10222123309. The next prime is 10222123339. The reversal of 10222123320 is 2332122201.

10222123320 is a `hidden beast` number, since 1 + 0 + 222 + 123 + 320 = 666.

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 = 10222123293 and 10222123302.

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, 99897 + ... + 174423.

It is an arithmetic number, because the mean of its divisors is an integer number (268300800).

Almost surely, 2^10222123320 is an apocalyptic number.

10222123320 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 10222123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171251200).

10222123320 is an abundant number, since it is smaller than the sum of its proper divisors (24120379080).

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

10222123320 is a wasteful number, since it uses less digits than its factorization.

10222123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74674 (or 74664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222123320 its reverse (2332122201), we get a palindrome (12554245521).

The spelling of 10222123320 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, three hundred twenty".