22311122111322 has 64 divisors (see below), whose sum is σ = 50489450610048. Its totient is φ = 6513086880000.

The previous prime is 22311122111273. The next prime is 22311122111323.

22311122111322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22311122111322³ (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 = 22311122111292 and 22311122111301.

It is not an unprimeable number, because it can be changed into a prime (22311122111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44983129 + ... + 45476412.

It is an arithmetic number, because the mean of its divisors is an integer number (788897665782).

Almost surely, 2^{22311122111322} is an apocalyptic number.

22311122111322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22311122111322 is an abundant number, since it is smaller than the sum of its proper divisors (28178328498726).

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

22311122111322 is a wasteful number, since it uses less digits than its factorization.

22311122111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90459695.

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

It can be divided in two parts, 2231112 and 2111322, that added together give a palindrome (4342434).

The spelling of 22311122111322 in words is "twenty-two trillion, three hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, three hundred twenty-two".