211032031120 has 160 divisors (see below), whose sum is σ = 501045431040. Its totient is φ = 82649548800.

The previous prime is 211032031117. The next prime is 211032031121. The reversal of 211032031120 is 21130230112.

211032031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 211032031094 and 211032031103.

It is not an unprimeable number, because it can be changed into a prime (211032031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385798687 + ... + 385799233.

It is an arithmetic number, because the mean of its divisors is an integer number (3131533944).

Almost surely, 2^211032031120 is an apocalyptic number.

211032031120 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 211032031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250522715520).

211032031120 is an abundant number, since it is smaller than the sum of its proper divisors (290013399920).

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

211032031120 is a wasteful number, since it uses less digits than its factorization.

211032031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211032031120 its reverse (21130230112), we get a palindrome (232162261232).

The spelling of 211032031120 in words is "two hundred eleven billion, thirty-two million, thirty-one thousand, one hundred twenty".