11311120 has 40 divisors (see below), whose sum is σ = 27848664. Its totient is φ = 4257792.

The previous prime is 11311117. The next prime is 11311123. The reversal of 11311120 is 2111311.

It is an interprime number because it is at equal distance from previous prime (11311117) and next prime (11311123).

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 5531904 = 2404^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11311097 and 11311106.

It is not an unprimeable number, because it can be changed into a prime (11311123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2799 + ... + 5518.

Almost surely, 2^11311120 is an apocalyptic number.

11311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311120 is an abundant number, since it is smaller than the sum of its proper divisors (16537544).

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

11311120 is a wasteful number, since it uses less digits than its factorization.

11311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 11311120 is about 3363.2008563272. The cubic root of 11311120 is about 224.4752875810.

Adding to 11311120 its reverse (2111311), we get a palindrome (13422431).

The spelling of 11311120 in words is "eleven million, three hundred eleven thousand, one hundred twenty".