122414414221 has 8 divisors (see below), whose sum is σ = 134503740000. Its totient is φ = 110485212240.

The previous prime is 122414414219. The next prime is 122414414231.

122414414221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122414414221 - 2¹ = 122414414219 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122414414221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122414414231) 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 7 ways as a sum of consecutive naturals, for example, 40029346 + ... + 40032403.

It is an arithmetic number, because the mean of its divisors is an integer number (16812967500).

Almost surely, 2^122414414221 is an apocalyptic number.

122414414221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122414414221 is a deficient number, since it is larger than the sum of its proper divisors (12089325779).

122414414221 is a wasteful number, since it uses less digits than its factorization.

122414414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80061899.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 122414 and 414221, that added together give a palindrome (536635).

The spelling of 122414414221 in words is "one hundred twenty-two billion, four hundred fourteen million, four hundred fourteen thousand, two hundred twenty-one".