21122311322112 has 640 divisors, whose sum is σ = 77595061598208. Its totient is φ = 4927404441600.

The previous prime is 21122311322111. The next prime is 21122311322141.

21122311322112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (21122311322111) 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, 56703187 + ... + 57074477.

Almost surely, 2^{21122311322112} is an apocalyptic number.

21122311322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38797530799104).

21122311322112 is an abundant number, since it is smaller than the sum of its proper divisors (56472750276096).

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

21122311322112 is a wasteful number, since it uses less digits than its factorization.

21122311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371380 (or 371364 counting only the distinct ones).

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

It can be divided in two parts, 2112231 and 1322112, that added together give a palindrome (3434343).

The spelling of 21122311322112 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".