22322133122322 has 32 divisors (see below), whose sum is σ = 49319327508480. Its totient is φ = 6678658930320.

The previous prime is 22322133122321. The next prime is 22322133122323.

It is a happy number.

22322133122322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22322133122321) and next prime (22322133122323).

It is a super-3 number, since 3×22322133122322³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22322133122322.

It is not an unprimeable number, because it can be changed into a prime (22322133122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140590598 + ... + 2140601025.

It is an arithmetic number, because the mean of its divisors is an integer number (1541228984640).

Almost surely, 2^{22322133122322} is an apocalyptic number.

22322133122322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22322133122322 is an abundant number, since it is smaller than the sum of its proper divisors (26997194386158).

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

22322133122322 is a wasteful number, since it uses less digits than its factorization.

22322133122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281191718.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2232213 and 3122322, that added together give a palindrome (5354535).

The spelling of 22322133122322 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-two".