221413000314122 has 8 divisors (see below), whose sum is σ = 332120473694436. Its totient is φ = 110706175749312.

The previous prime is 221413000314119. The next prime is 221413000314161.

It is a happy number.

221413000314122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 219995017108441 + 1417983205681 = 14832229^2 + 1190791^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 221413000314091 and 221413000314100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161349833 + ... + 162716300.

Almost surely, 2^{221413000314122} is an apocalyptic number.

221413000314122 is a deficient number, since it is larger than the sum of its proper divisors (110707473380314).

221413000314122 is a wasteful number, since it uses less digits than its factorization.

221413000314122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324407752.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 221413000 and 314122, that added together give a palindrome (221727122).

The spelling of 221413000314122 in words is "two hundred twenty-one trillion, four hundred thirteen billion, three hundred fourteen thousand, one hundred twenty-two".