11511120 has 40 divisors (see below), whose sum is σ = 35685216. Its totient is φ = 3069568.

The previous prime is 11511113. The next prime is 11511133. The reversal of 11511120 is 2111511.

11511120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11511096 and 11511105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23742 + ... + 24221.

Almost surely, 2^11511120 is an apocalyptic number.

11511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11511120 is an abundant number, since it is smaller than the sum of its proper divisors (24174096).

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

11511120 is a wasteful number, since it uses less digits than its factorization.

11511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47979 (or 47973 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 11511120 is about 3392.8041499621. The cubic root of 11511120 is about 225.7906014593.

Adding to 11511120 its reverse (2111511), we get a palindrome (13622631).

The spelling of 11511120 in words is "eleven million, five hundred eleven thousand, one hundred twenty".