222120120221000 has 128 divisors (see below), whose sum is σ = 522314722107360. Its totient is φ = 88412000256000.

The previous prime is 222120120220967. The next prime is 222120120221089. The reversal of 222120120221000 is 122021021222.

It is a happy number.

222120120221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 37468820107684 + 184651300113316 = 6121178^2 + 13588646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222120120221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377398952 + ... + 377987048.

Almost surely, 2^{222120120221000} is an apocalyptic number.

222120120221000 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 222120120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261157361053680).

222120120221000 is an abundant number, since it is smaller than the sum of its proper divisors (300194601886360).

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

222120120221000 is a wasteful number, since it uses less digits than its factorization.

222120120221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589972 (or 589958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222120120221000 its reverse (122021021222), we get a palindrome (222242141242222).

The spelling of 222120120221000 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-one thousand".