11118000 has 160 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 2764800.

The previous prime is 11117987. The next prime is 11118001. The reversal of 11118000 is 81111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11118001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101946 + ... + 102054.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^11118000 is an apocalyptic number.

11118000 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 11118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

11118000 is an abundant number, since it is smaller than the sum of its proper divisors (27183120).

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

11118000 is a wasteful number, since it uses less digits than its factorization.

11118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 11118000 is about 3334.3665065496. The cubic root of 11118000 is about 223.1904236587.

Adding to 11118000 its reverse (81111), we get a palindrome (11199111).

The spelling of 11118000 in words is "eleven million, one hundred eighteen thousand".