211113211120 has 120 divisors (see below), whose sum is σ = 575084286000. Its totient is φ = 71860755456.

The previous prime is 211113211109. The next prime is 211113211189. The reversal of 211113211120 is 21112311112.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 211113211094 and 211113211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351156 + ... + 738604.

It is an arithmetic number, because the mean of its divisors is an integer number (4792369050).

Almost surely, 2^211113211120 is an apocalyptic number.

211113211120 is a gapful number since it is divisible by the number (20) 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 211113211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287542143000).

211113211120 is an abundant number, since it is smaller than the sum of its proper divisors (363971074880).

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

211113211120 is a wasteful number, since it uses less digits than its factorization.

211113211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387615 (or 387602 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 211113211120 its reverse (21112311112), we get a palindrome (232225522232).

The spelling of 211113211120 in words is "two hundred eleven billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty".