122114411221 has 16 divisors (see below), whose sum is σ = 139860564480. Its totient is φ = 105534958320.

The previous prime is 122114411189. The next prime is 122114411227.

122114411221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122114411221 - 2⁵ = 122114411189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122114411192 and 122114411201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114411227) 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, 1439331 + ... + 1521808.

It is an arithmetic number, because the mean of its divisors is an integer number (8741285280).

Almost surely, 2^122114411221 is an apocalyptic number.

122114411221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122114411221 is a deficient number, since it is larger than the sum of its proper divisors (17746153259).

122114411221 is a wasteful number, since it uses less digits than its factorization.

122114411221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961336.

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 122114 and 411221, that added together give a palindrome (533335).

The spelling of 122114411221 in words is "one hundred twenty-two billion, one hundred fourteen million, four hundred eleven thousand, two hundred twenty-one".