222211221000 has 128 divisors (see below), whose sum is σ = 693473564160. Its totient is φ = 59241408000.

The previous prime is 222211220969. The next prime is 222211221007. The reversal of 222211221000 is 122112222.

222211221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (222211221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17204545 + ... + 17217455.

It is an arithmetic number, because the mean of its divisors is an integer number (5417762220).

Almost surely, 2^222211221000 is an apocalyptic number.

222211221000 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 222211221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346736782080).

222211221000 is an abundant number, since it is smaller than the sum of its proper divisors (471262343160).

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

222211221000 is a wasteful number, since it uses less digits than its factorization.

222211221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18672 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222211221000 its reverse (122112222), we get a palindrome (222333333222).

It can be divided in two parts, 222211 and 221000, that added together give a triangular number (443211 = T₉₄₁).

The spelling of 222211221000 in words is "two hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand".