121222220033313 has 96 divisors (see below), whose sum is σ = 219983474460672. Its totient is φ = 62727377356800.

The previous prime is 121222220033227. The next prime is 121222220033357. The reversal of 121222220033313 is 313330022222121.

121222220033313 is a `hidden beast` number, since 1 + 2 + 122 + 2 + 2 + 200 + 3 + 331 + 3 = 666.

It is not a de Polignac number, because 121222220033313 - 2¹⁴ = 121222220016929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121222220033363) 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 95 ways as a sum of consecutive naturals, for example, 4808718 + ... + 16296263.

It is an arithmetic number, because the mean of its divisors is an integer number (2291494525632).

Almost surely, 2^{121222220033313} is an apocalyptic number.

It is an amenable number.

121222220033313 is a deficient number, since it is larger than the sum of its proper divisors (98761254427359).

121222220033313 is a wasteful number, since it uses less digits than its factorization.

121222220033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105215 (or 21105212 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 121222220033313 its reverse (313330022222121), we get a palindrome (434552242255434).

The spelling of 121222220033313 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred twenty million, thirty-three thousand, three hundred thirteen".