10222123120 has 160 divisors (see below), whose sum is σ = 28897793280. Its totient is φ = 3314257920.

The previous prime is 10222123049. The next prime is 10222123133. The reversal of 10222123120 is 2132122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10222123094 and 10222123103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266259 + ... + 302221.

It is an arithmetic number, because the mean of its divisors is an integer number (180611208).

Almost surely, 2^10222123120 is an apocalyptic number.

10222123120 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 10222123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448896640).

10222123120 is an abundant number, since it is smaller than the sum of its proper divisors (18675670160).

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

10222123120 is a wasteful number, since it uses less digits than its factorization.

10222123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36023 (or 36017 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222123120 its reverse (2132122201), we get a palindrome (12354245321).

The spelling of 10222123120 in words is "ten billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".