11211120211120 has 160 divisors (see below), whose sum is σ = 28536098215680. Its totient is φ = 4081595857920.

The previous prime is 11211120211091. The next prime is 11211120211133. The reversal of 11211120211120 is 2111202111211.

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 = 11211120211094 and 11211120211103.

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, 2580987 + ... + 5392933.

It is an arithmetic number, because the mean of its divisors is an integer number (178350613848).

Almost surely, 2^{11211120211120} is an apocalyptic number.

11211120211120 is a gapful number since it is divisible by the number (10) 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 11211120211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268049107840).

11211120211120 is an abundant number, since it is smaller than the sum of its proper divisors (17324978004560).

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

11211120211120 is a wasteful number, since it uses less digits than its factorization.

11211120211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812083 (or 2812077 counting only the distinct ones).

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

Adding to 11211120211120 its reverse (2111202111211), we get a palindrome (13322322322331).

It can be divided in two parts, 1 and 1211120211120, that added together give a palindrome (1211120211121).

The spelling of 11211120211120 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".