11210211120 has 80 divisors (see below), whose sum is σ = 34818744672. Its totient is φ = 2983618560.

The previous prime is 11210211119. The next prime is 11210211121. The reversal of 11210211120 is 2111201211.

11210211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11210211119) and next prime (11210211121).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 11210211096 and 11210211105.

It is not an unprimeable number, because it can be changed into a prime (11210211121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80214 + ... + 169866.

Almost surely, 2^11210211120 is an apocalyptic number.

11210211120 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 11210211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409372336).

11210211120 is an abundant number, since it is smaller than the sum of its proper divisors (23608533552).

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

11210211120 is a wasteful number, since it uses less digits than its factorization.

11210211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90190 (or 90184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210211120 its reverse (2111201211), we get a palindrome (13321412331).

Subtracting from 11210211120 its reverse (2111201211), we obtain a palindrome (9099009909).

The spelling of 11210211120 in words is "eleven billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".