222110021120 has 640 divisors, whose sum is σ = 643706300160. Its totient is φ = 73098854400.

The previous prime is 222110021113. The next prime is 222110021123. The reversal of 222110021120 is 21120011222.

222110021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×222110021120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222110021095 and 222110021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222110021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199109070 + ... + 2199109170.

It is an arithmetic number, because the mean of its divisors is an integer number (1005791094).

Almost surely, 2^222110021120 is an apocalyptic number.

222110021120 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 222110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321853150080).

222110021120 is an abundant number, since it is smaller than the sum of its proper divisors (421596279040).

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

222110021120 is a wasteful number, since it uses less digits than its factorization.

222110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222110021120 its reverse (21120011222), we get a palindrome (243230032342).

The spelling of 222110021120 in words is "two hundred twenty-two billion, one hundred ten million, twenty-one thousand, one hundred twenty".