122120221221 has 12 divisors (see below), whose sum is σ = 180698214060. Its totient is φ = 79427785920.

The previous prime is 122120221207. The next prime is 122120221229. The reversal of 122120221221 is 122122021221.

It is a happy number.

122120221221 is a `hidden beast` number, since 1 + 221 + 2 + 0 + 221 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31263190596 + 90857030625 = 176814^2 + 301425^2 .

It is not a de Polignac number, because 122120221221 - 2⁵ = 122120221189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122120221194 and 122120221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120221229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165474186 + ... + 165474923.

It is an arithmetic number, because the mean of its divisors is an integer number (15058184505).

Almost surely, 2^122120221221 is an apocalyptic number.

It is an amenable number.

122120221221 is a deficient number, since it is larger than the sum of its proper divisors (58577992839).

122120221221 is a wasteful number, since it uses less digits than its factorization.

122120221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330949156 (or 330949153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122120221221 its reverse (122122021221), we get a palindrome (244242242442).

The spelling of 122120221221 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty-one".