222120121201121 has 36 divisors (see below), whose sum is σ = 265916691440316. Its totient is φ = 184300176656640.

The previous prime is 222120121201117. The next prime is 222120121201127. The reversal of 222120121201121 is 121102121021222.

It can be written as a sum of positive squares in 6 ways, for example, as 71554681000000 + 150565440201121 = 8459000^2 + 12270511^2 .

It is not a de Polignac number, because 222120121201121 - 2² = 222120121201117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222120121201093 and 222120121201102.

It is not an unprimeable number, because it can be changed into a prime (222120121201127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3546215 + ... + 21373251.

It is an arithmetic number, because the mean of its divisors is an integer number (7386574762231).

Almost surely, 2^{222120121201121} is an apocalyptic number.

It is an amenable number.

222120121201121 is a deficient number, since it is larger than the sum of its proper divisors (43796570239195).

222120121201121 is a wasteful number, since it uses less digits than its factorization.

222120121201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827250 (or 17827150 counting only the distinct ones).

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

Adding to 222120121201121 its reverse (121102121021222), we get a palindrome (343222242222343).

The spelling of 222120121201121 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-one".