211111011120 has 160 divisors (see below), whose sum is σ = 663157555200. Its totient is φ = 55547661312.

The previous prime is 211111011119. The next prime is 211111011203. The reversal of 211111011120 is 21110111112.

211111011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211111011120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211111011096 and 211111011105.

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, 42448954 + ... + 42453926.

It is an arithmetic number, because the mean of its divisors is an integer number (4144734720).

Almost surely, 2^211111011120 is an apocalyptic number.

211111011120 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 211111011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331578777600).

211111011120 is an abundant number, since it is smaller than the sum of its proper divisors (452046544080).

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

211111011120 is a wasteful number, since it uses less digits than its factorization.

211111011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211111011120 its reverse (21110111112), we get a palindrome (232221122232).

The spelling of 211111011120 in words is "two hundred eleven billion, one hundred eleven million, eleven thousand, one hundred twenty".