11211120 has 120 divisors (see below), whose sum is σ = 39345696. Its totient is φ = 2855424.

The previous prime is 11211103. The next prime is 11211131. The reversal of 11211120 is 2111211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16222 + ... + 16898.

Almost surely, 2^11211120 is an apocalyptic number.

11211120 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 11211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672848).

11211120 is an abundant number, since it is smaller than the sum of its proper divisors (28134576).

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

11211120 is a wasteful number, since it uses less digits than its factorization.

11211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11211120 is about 3348.3010617327. The cubic root of 11211120 is about 223.8118104777.

Adding to 11211120 its reverse (2111211), we get a palindrome (13322331).

Subtracting from 11211120 its reverse (2111211), we obtain a palindrome (9099909).

It can be divided in two parts, 1 and 1211120, that added together give a palindrome (1211121).

The spelling of 11211120 in words is "eleven million, two hundred eleven thousand, one hundred twenty".