222120221312 has 128 divisors (see below), whose sum is σ = 488537714880. Its totient is φ = 99753984000.

The previous prime is 222120221287. The next prime is 222120221327. The reversal of 222120221312 is 213122021222.

222120221312 is digitally balanced in base 2 and base 3, because in such bases 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 (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82052663 + ... + 82055369.

Almost surely, 2^222120221312 is an apocalyptic number.

222120221312 is a gapful number since it is divisible by the number (22) 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 222120221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244268857440).

222120221312 is an abundant number, since it is smaller than the sum of its proper divisors (266417493568).

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

222120221312 is a wasteful number, since it uses less digits than its factorization.

222120221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 222120221312 its reverse (213122021222), we get a palindrome (435242242534).

The spelling of 222120221312 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, three hundred twelve".