11287120 has 40 divisors (see below), whose sum is σ = 28263816. Its totient is φ = 4167168.

The previous prime is 11287117. The next prime is 11287127. The reversal of 11287120 is 2178211.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 11048976 = 488^2 + 3324^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11287091 and 11287100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287127) 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, 4387 + ... + 6466.

Almost surely, 2^11287120 is an apocalyptic number.

11287120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11287120 is an abundant number, since it is smaller than the sum of its proper divisors (16976696).

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

11287120 is a wasteful number, since it uses less digits than its factorization.

11287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 11287120 is about 3359.6309321114. The cubic root of 11287120 is about 224.3164108371.

The spelling of 11287120 in words is "eleven million, two hundred eighty-seven thousand, one hundred twenty".