122113311221 has 16 divisors (see below), whose sum is σ = 138547197888. Its totient is φ = 106652851200.

The previous prime is 122113311209. The next prime is 122113311241.

122113311221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122113311221 - 2¹⁴ = 122113294837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122113311193 and 122113311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113311241) by changing a digit.

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, 2087276 + ... + 2144981.

It is an arithmetic number, because the mean of its divisors is an integer number (8659199868).

Almost surely, 2^122113311221 is an apocalyptic number.

122113311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122113311221 is a deficient number, since it is larger than the sum of its proper divisors (16433886667).

122113311221 is a wasteful number, since it uses less digits than its factorization.

122113311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232372.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 122113 and 311221, that added together give a palindrome (433334).

The spelling of 122113311221 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred eleven thousand, two hundred twenty-one".