122522404225221 has 144 divisors (see below), whose sum is σ = 239457169486080. Its totient is φ = 58742722368000.

The previous prime is 122522404225201. The next prime is 122522404225327.

122522404225221 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 2 + 4 + 0 + 422 + 5 + 221 = 666.

122522404225221 is nontrivially palindromic in base 10.

122522404225221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122522404225221 - 2⁷ = 122522404225093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122522404225201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649103185 + ... + 649291913.

It is an arithmetic number, because the mean of its divisors is an integer number (1662897010320).

Almost surely, 2^{122522404225221} is an apocalyptic number.

122522404225221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122522404225221 is a deficient number, since it is larger than the sum of its proper divisors (116934765260859).

122522404225221 is a wasteful number, since it uses less digits than its factorization.

122522404225221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195328 (or 195314 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 12252240 and 4225221, that added together give a palindrome (16477461).

The spelling of 122522404225221 in words is "one hundred twenty-two trillion, five hundred twenty-two billion, four hundred four million, two hundred twenty-five thousand, two hundred twenty-one".