122704407221 has 32 divisors (see below), whose sum is σ = 143169693696. Its totient is φ = 104064840000.

The previous prime is 122704407211. The next prime is 122704407239.

122704407221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122704407221 - 2³⁴ = 105524538037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122704407211) 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, 1676216 + ... + 1747886.

It is an arithmetic number, because the mean of its divisors is an integer number (4474052928).

Almost surely, 2^122704407221 is an apocalyptic number.

122704407221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122704407221 is a deficient number, since it is larger than the sum of its proper divisors (20465286475).

122704407221 is a wasteful number, since it uses less digits than its factorization.

122704407221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71873.

The product of its (nonzero) digits is 12544, while the sum is 32.

It can be divided in two parts, 122704 and 407221, that added together give a palindrome (529925).

The spelling of 122704407221 in words is "one hundred twenty-two billion, seven hundred four million, four hundred seven thousand, two hundred twenty-one".