211132334112 has 96 divisors (see below), whose sum is σ = 634441715712. Its totient is φ = 60224027904.

The previous prime is 211132334111. The next prime is 211132334129. The reversal of 211132334112 is 211433231112.

It is a tau number, because it is divible by the number of its divisors (96).

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 (211132334111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149103 + ... + 666705.

It is an arithmetic number, because the mean of its divisors is an integer number (6608767872).

Almost surely, 2^211132334112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211132334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317220857856).

211132334112 is an abundant number, since it is smaller than the sum of its proper divisors (423309381600).

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

211132334112 is a wasteful number, since it uses less digits than its factorization.

211132334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518230 (or 518222 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 211132334112 its reverse (211433231112), we get a palindrome (422565565224).

The spelling of 211132334112 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred thirty-four thousand, one hundred twelve".