22120002220221 has 48 divisors (see below), whose sum is σ = 34054905783600. Its totient is φ = 13812556133376.

The previous prime is 22120002220207. The next prime is 22120002220231. The reversal of 22120002220221 is 12202220002122.

22120002220221 is a `hidden beast` number, since 2 + 21 + 200 + 0 + 2 + 220 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 610015671225 + 21509986548996 = 781035^2 + 4637886^2 .

It is not a de Polignac number, because 22120002220221 - 2⁵ = 22120002220189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120002220194 and 22120002220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120002220231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7752430 + ... + 10214703.

It is an arithmetic number, because the mean of its divisors is an integer number (709477203825).

Almost surely, 2^{22120002220221} is an apocalyptic number.

It is an amenable number.

22120002220221 is a deficient number, since it is larger than the sum of its proper divisors (11934903563379).

22120002220221 is a wasteful number, since it uses less digits than its factorization.

22120002220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967310 (or 17967307 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22120002220221 its reverse (12202220002122), we get a palindrome (34322222222343).

The spelling of 22120002220221 in words is "twenty-two trillion, one hundred twenty billion, two million, two hundred twenty thousand, two hundred twenty-one".