21111322311112 has 128 divisors (see below), whose sum is σ = 45174083512320. Its totient is φ = 9155564352000.

The previous prime is 21111322311083. The next prime is 21111322311143.

21111322311112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322217687 + ... + 2322226777.

It is an arithmetic number, because the mean of its divisors is an integer number (352922527440).

Almost surely, 2^{21111322311112} is an apocalyptic number.

21111322311112 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 21111322311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587041756160).

21111322311112 is an abundant number, since it is smaller than the sum of its proper divisors (24062761201208).

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

21111322311112 is a wasteful number, since it uses less digits than its factorization.

21111322311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915 (or 11911 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

It can be divided in two parts, 2111132 and 2311112, that added together give a palindrome (4422244).

The spelling of 21111322311112 in words is "twenty-one trillion, one hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, one hundred twelve".