22222120322133 has 6 divisors (see below), whose sum is σ = 32098618243094. Its totient is φ = 14814746881416.

The previous prime is 22222120322119. The next prime is 22222120322173. The reversal of 22222120322133 is 33122302122222.

22222120322133 is a `hidden beast` number, since 2 + 22 + 221 + 203 + 2 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20712310962084 + 1509809360049 = 4551078^2 + 1228743^2 .

It is not a de Polignac number, because 22222120322133 - 2¹² = 22222120318037 is a prime.

It is a super-2 number, since 2×22222120322133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22222120322097 and 22222120322106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222120322173) 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 5 ways as a sum of consecutive naturals, for example, 1234562240110 + ... + 1234562240127.

Almost surely, 2^{22222120322133} is an apocalyptic number.

It is an amenable number.

22222120322133 is a deficient number, since it is larger than the sum of its proper divisors (9876497920961).

22222120322133 is a wasteful number, since it uses less digits than its factorization.

22222120322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469124480243 (or 2469124480240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22222120322133 its reverse (33122302122222), we get a palindrome (55344422444355).

The spelling of 22222120322133 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred twenty million, three hundred twenty-two thousand, one hundred thirty-three".