11111120 has 20 divisors (see below), whose sum is σ = 25833540. Its totient is φ = 4444416.

The previous prime is 11111119. The next prime is 11111131. The reversal of 11111120 is 2111111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 9909904 = 1096^2 + 3148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11111098 and 11111107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69365 + ... + 69524.

It is an arithmetic number, because the mean of its divisors is an integer number (1291677).

Almost surely, 2^11111120 is an apocalyptic number.

11111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111120 is an abundant number, since it is smaller than the sum of its proper divisors (14722420).

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

11111120 is a wasteful number, since it uses less digits than its factorization.

11111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138902 (or 138896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 11111120 is about 3333.3346666664. The cubic root of 11111120 is about 223.1443761992.

Adding to 11111120 its reverse (2111111), we get a palindrome (13222231).

Subtracting from 11111120 its reverse (2111111), we obtain a palindrome (9000009).

The spelling of 11111120 in words is "eleven million, one hundred eleven thousand, one hundred twenty".