122224121422221 has 128 divisors (see below), whose sum is σ = 207925207289856. Its totient is φ = 62139884728320.

The previous prime is 122224121422177. The next prime is 122224121422243.

122224121422221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122224121422221 - 2⁷ = 122224121422093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122224121422261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2267960686 + ... + 2268014576.

It is an arithmetic number, because the mean of its divisors is an integer number (1624415681952).

Almost surely, 2^{122224121422221} is an apocalyptic number.

It is an amenable number.

122224121422221 is a deficient number, since it is larger than the sum of its proper divisors (85701085867635).

122224121422221 is a wasteful number, since it uses less digits than its factorization.

122224121422221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56051.

The product of its digits is 8192, while the sum is 30.

The spelling of 122224121422221 in words is "one hundred twenty-two trillion, two hundred twenty-four billion, one hundred twenty-one million, four hundred twenty-two thousand, two hundred twenty-one".