11157120 has 192 divisors, whose sum is σ = 41769000. Its totient is φ = 2727936.

The previous prime is 11157119. The next prime is 11157127. The reversal of 11157120 is 2175111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 6594624 = 2136^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11157093 and 11157102.

It is not an unprimeable number, because it can be changed into a prime (11157127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74806 + ... + 74954.

Almost surely, 2^11157120 is an apocalyptic number.

11157120 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 11157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884500).

11157120 is an abundant number, since it is smaller than the sum of its proper divisors (30611880).

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

11157120 is a wasteful number, since it uses less digits than its factorization.

11157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11157120 is about 3340.2275371597. The cubic root of 11157120 is about 223.4518912112.

Subtracting from 11157120 its reverse (2175111), we obtain a square (8982009 = 2997²).

The spelling of 11157120 in words is "eleven million, one hundred fifty-seven thousand, one hundred twenty".