222211210211120 has 320 divisors, whose sum is σ = 563123714025600. Its totient is φ = 81059649454080.

The previous prime is 222211210211117. The next prime is 222211210211141. The reversal of 222211210211120 is 21112012112222.

It is a super-2 number, since 2×222211210211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222211210211092 and 222211210211101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39392163500 + ... + 39392169140.

It is an arithmetic number, because the mean of its divisors is an integer number (1759761606330).

Almost surely, 2^{222211210211120} is an apocalyptic number.

222211210211120 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 222211210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281561857012800).

222211210211120 is an abundant number, since it is smaller than the sum of its proper divisors (340912503814480).

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

222211210211120 is a wasteful number, since it uses less digits than its factorization.

222211210211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222211210211120 its reverse (21112012112222), we get a palindrome (243323222323342).

The spelling of 222211210211120 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".