211211112112 has 160 divisors (see below), whose sum is σ = 550214784000. Its totient is φ = 75853532160.

The previous prime is 211211112059. The next prime is 211211112149.

211211112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211211112112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 11891014 + ... + 11908762.

It is an arithmetic number, because the mean of its divisors is an integer number (3438842400).

Almost surely, 2^211211112112 is an apocalyptic number.

211211112112 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 211211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275107392000).

211211112112 is an abundant number, since it is smaller than the sum of its proper divisors (339003671888).

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

211211112112 is a wasteful number, since it uses less digits than its factorization.

211211112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18531 (or 18525 counting only the distinct ones).

The product of its digits is 16, while the sum is 16.

It can be divided in two parts, 211211 and 112112, that added together give a palindrome (323323).

The spelling of 211211112112 in words is "two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".