122014410221 has 32 divisors (see below), whose sum is σ = 136244419200. Its totient is φ = 108341038080.

The previous prime is 122014410187. The next prime is 122014410239.

122014410221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122014410221 - 2²² = 122010215917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122014410193 and 122014410202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122014410521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55994510 + ... + 55996688.

It is an arithmetic number, because the mean of its divisors is an integer number (4257638100).

Almost surely, 2^122014410221 is an apocalyptic number.

122014410221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122014410221 is a deficient number, since it is larger than the sum of its proper divisors (14230008979).

122014410221 is a wasteful number, since it uses less digits than its factorization.

122014410221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 122014 and 410221, that added together give a palindrome (532235).

The spelling of 122014410221 in words is "one hundred twenty-two billion, fourteen million, four hundred ten thousand, two hundred twenty-one".