413121220230222 has 48 divisors (see below), whose sum is σ = 1024200808182240. Its totient is φ = 117892252374336.

The previous prime is 413121220230211. The next prime is 413121220230247. The reversal of 413121220230222 is 222032022121314.

413121220230222 is a `hidden beast` number, since 4 + 1 + 312 + 1 + 2 + 20 + 2 + 302 + 22 = 666.

It is a super-3 number, since 3×413121220230222³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1977422593 + ... + 1977631500.

It is an arithmetic number, because the mean of its divisors is an integer number (21337516837130).

Almost surely, 2^{413121220230222} is an apocalyptic number.

413121220230222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413121220230222 is an abundant number, since it is smaller than the sum of its proper divisors (611079587952018).

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

413121220230222 is a wasteful number, since it uses less digits than its factorization.

413121220230222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955054937 (or 3955054934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413121220230222 its reverse (222032022121314), we get a palindrome (635153242351536).

The spelling of 413121220230222 in words is "four hundred thirteen trillion, one hundred twenty-one billion, two hundred twenty million, two hundred thirty thousand, two hundred twenty-two".