211120012012 has 96 divisors (see below), whose sum is σ = 482270035968. Its totient is φ = 78476166144.

The previous prime is 211120011997. The next prime is 211120012031. The reversal of 211120012012 is 210210021112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211120011983 and 211120012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728013 + ... + 3784219.

It is an arithmetic number, because the mean of its divisors is an integer number (5023646208).

Almost surely, 2^211120012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241135017984).

211120012012 is an abundant number, since it is smaller than the sum of its proper divisors (271150023956).

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

211120012012 is a wasteful number, since it uses less digits than its factorization.

211120012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56855 (or 56853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211120012012 its reverse (210210021112), we get a palindrome (421330033124).

It can be divided in two parts, 2111200 and 12012, that added together give a palindrome (2123212).

The spelling of 211120012012 in words is "two hundred eleven billion, one hundred twenty million, twelve thousand, twelve".