11198112 has 48 divisors (see below), whose sum is σ = 29850912. Its totient is φ = 3674880.

The previous prime is 11198101. The next prime is 11198113. The reversal of 11198112 is 21189111.

11198112 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11198113) 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, 5562 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (621894).

Almost surely, 2^11198112 is an apocalyptic number.

11198112 is a gapful number since it is divisible by the number (12) 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 11198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925456).

11198112 is an abundant number, since it is smaller than the sum of its proper divisors (18652800).

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

11198112 is a wasteful number, since it uses less digits than its factorization.

11198112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

The square root of 11198112 is about 3346.3580202961. The cubic root of 11198112 is about 223.7252157769.

Subtracting 11198112 from its reverse (21189111), we obtain a palindrome (9990999).

The spelling of 11198112 in words is "eleven million, one hundred ninety-eight thousand, one hundred twelve".