22321111112322 has 128 divisors (see below), whose sum is σ = 51368224896000. Its totient is φ = 6405558048000.

The previous prime is 22321111112317. The next prime is 22321111112327.

22321111112322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22321111112317) and next prime (22321111112327).

It is a super-3 number, since 3×22321111112322³ (a number of 41 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 = 22321111112292 and 22321111112301.

It is not an unprimeable number, because it can be changed into a prime (22321111112327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13784929 + ... + 15318827.

It is an arithmetic number, because the mean of its divisors is an integer number (401314257000).

Almost surely, 2^{22321111112322} is an apocalyptic number.

22321111112322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321111112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25684112448000).

22321111112322 is an abundant number, since it is smaller than the sum of its proper divisors (29047113783678).

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

22321111112322 is a wasteful number, since it uses less digits than its factorization.

22321111112322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534112.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2232111 and 1112322, that added together give a palindrome (3344433).

The spelling of 22321111112322 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, three hundred twenty-two".