211120112140 has 96 divisors (see below), whose sum is σ = 512112513024. Its totient is φ = 71610297600.

The previous prime is 211120112101. The next prime is 211120112171. The reversal of 211120112140 is 41211021112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20172549 + ... + 20183011.

It is an arithmetic number, because the mean of its divisors is an integer number (5334505344).

Almost surely, 2^211120112140 is an apocalyptic number.

211120112140 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 211120112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256056256512).

211120112140 is an abundant number, since it is smaller than the sum of its proper divisors (300992400884).

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

211120112140 is a wasteful number, since it uses less digits than its factorization.

211120112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120112140 its reverse (41211021112), we get a palindrome (252331133252).

The spelling of 211120112140 in words is "two hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred forty".