133222132122 has 64 divisors (see below), whose sum is σ = 283569970176. Its totient is φ = 41637214080.

The previous prime is 133222132063. The next prime is 133222132129. The reversal of 133222132122 is 221231222331.

It is a super-3 number, since 3×133222132122³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133222132092 and 133222132101.

It is not an unprimeable number, because it can be changed into a prime (133222132129) 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 31 ways as a sum of consecutive naturals, for example, 1601497 + ... + 1682627.

It is an arithmetic number, because the mean of its divisors is an integer number (4430780784).

Almost surely, 2^133222132122 is an apocalyptic number.

133222132122 is an abundant number, since it is smaller than the sum of its proper divisors (150347838054).

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

133222132122 is a wasteful number, since it uses less digits than its factorization.

133222132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81395.

The product of its digits is 1728, while the sum is 24.

Adding to 133222132122 its reverse (221231222331), we get a palindrome (354453354453).

The spelling of 133222132122 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-two".