10222322112 has 168 divisors, whose sum is σ = 30239214096. Its totient is φ = 3299180544.

The previous prime is 10222322063. The next prime is 10222322113. The reversal of 10222322112 is 21122322201.

10222322112 is a `hidden beast` number, since 10 + 222 + 322 + 112 = 666.

It is a super-2 number, since 2×10222322112² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222322113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4836768 + ... + 4838880.

It is an arithmetic number, because the mean of its divisors is an integer number (179995322).

Almost surely, 2^10222322112 is an apocalyptic number.

10222322112 is a gapful number since it is divisible by the number (12) 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 10222322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119607048).

10222322112 is an abundant number, since it is smaller than the sum of its proper divisors (20016891984).

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

10222322112 is a wasteful number, since it uses less digits than its factorization.

10222322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2382 counting only the distinct ones).

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

Adding to 10222322112 its reverse (21122322201), we get a palindrome (31344644313).

The spelling of 10222322112 in words is "ten billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".