211233332112 has 160 divisors (see below), whose sum is σ = 621748776960. Its totient is φ = 61224168960.

The previous prime is 211233332027. The next prime is 211233332117.

211233332112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×211233332112³ (a number of 35 digits) contains 333 as substring.

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 (211233332117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060993 + ... + 1244255.

It is an arithmetic number, because the mean of its divisors is an integer number (3885929856).

Almost surely, 2^211233332112 is an apocalyptic number.

211233332112 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 211233332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310874388480).

211233332112 is an abundant number, since it is smaller than the sum of its proper divisors (410515444848).

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

211233332112 is a wasteful number, since it uses less digits than its factorization.

211233332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183381 (or 183375 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 211233 and 332112, that added together give a palindrome (543345).

The spelling of 211233332112 in words is "two hundred eleven billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred twelve".