223220121223333 has 64 divisors (see below), whose sum is σ = 255107144320000. Its totient is φ = 193619037782016.

The previous prime is 223220121223327. The next prime is 223220121223361. The reversal of 223220121223333 is 333322121022322.

It is a cyclic number.

It is not a de Polignac number, because 223220121223333 - 2⁵ = 223220121223301 is a prime.

It is a super-3 number, since 3×223220121223333³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223220121223295 and 223220121223304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223220121223633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34189018213 + ... + 34189024741.

It is an arithmetic number, because the mean of its divisors is an integer number (3986049130000).

Almost surely, 2^{223220121223333} is an apocalyptic number.

It is an amenable number.

223220121223333 is a deficient number, since it is larger than the sum of its proper divisors (31887023096667).

223220121223333 is a wasteful number, since it uses less digits than its factorization.

223220121223333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 223220121223333 its reverse (333322121022322), we get a palindrome (556542242245655).

The spelling of 223220121223333 in words is "two hundred twenty-three trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred thirty-three".