211322223112 has 256 divisors, whose sum is σ = 556477931520. Its totient is φ = 72519321600.

The previous prime is 211322223109. The next prime is 211322223113.

211322223112 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (211322223113) 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, 92643412 + ... + 92645692.

It is an arithmetic number, because the mean of its divisors is an integer number (2173741920).

Almost surely, 2^211322223112 is an apocalyptic number.

211322223112 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 211322223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278238965760).

211322223112 is an abundant number, since it is smaller than the sum of its proper divisors (345155708408).

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

211322223112 is a wasteful number, since it uses less digits than its factorization.

211322223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2840 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 211322 and 223112, that added together give a palindrome (434434).

The spelling of 211322223112 in words is "two hundred eleven billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twelve".