11166120 has 192 divisors, whose sum is σ = 43502400. Its totient is φ = 2540160.

The previous prime is 11166083. The next prime is 11166137. The reversal of 11166120 is 2166111.

11166120 is a `hidden beast` number, since 1 + 1 + 1 + 661 + 2 + 0 = 666.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11166093 and 11166102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52815 + ... + 53025.

It is an arithmetic number, because the mean of its divisors is an integer number (226575).

Almost surely, 2^11166120 is an apocalyptic number.

11166120 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 11166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21751200).

11166120 is an abundant number, since it is smaller than the sum of its proper divisors (32336280).

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

11166120 is a wasteful number, since it uses less digits than its factorization.

11166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11166120 is about 3341.5744791939. The cubic root of 11166120 is about 223.5119582809.

Subtracting from 11166120 its reverse (2166111), we obtain a palindrome (9000009).

The spelling of 11166120 in words is "eleven million, one hundred sixty-six thousand, one hundred twenty".