221414242414122 has 48 divisors (see below), whose sum is σ = 485527065424128. Its totient is φ = 72916179890400.

The previous prime is 221414242414067. The next prime is 221414242414151.

221414242414122 is a `hidden beast` number, since 2 + 2 + 1 + 41 + 42 + 42 + 414 + 122 = 666.

221414242414122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130680958 + ... + 132364425.

It is an arithmetic number, because the mean of its divisors is an integer number (10115147196336).

Almost surely, 2^{221414242414122} is an apocalyptic number.

221414242414122 is an abundant number, since it is smaller than the sum of its proper divisors (264112823010006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221414242414122 is a wasteful number, since it uses less digits than its factorization.

221414242414122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263045955 (or 263045952 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 221414242414122 in words is "two hundred twenty-one trillion, four hundred fourteen billion, two hundred forty-two million, four hundred fourteen thousand, one hundred twenty-two".