11042200 has 96 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 3916800.

The previous prime is 11042183. The next prime is 11042201. The reversal of 11042200 is 224011.

11042200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042201) 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, 80532 + ... + 80668.

It is an arithmetic number, because the mean of its divisors is an integer number (299460).

Almost surely, 2^11042200 is an apocalyptic number.

11042200 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 11042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

11042200 is an abundant number, since it is smaller than the sum of its proper divisors (17705960).

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

11042200 is a wasteful number, since it uses less digits than its factorization.

11042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11042200 is about 3322.9805897718. The cubic root of 11042200 is about 222.6820460212.

Adding to 11042200 its reverse (224011), we get a palindrome (11266211).

The spelling of 11042200 in words is "eleven million, forty-two thousand, two hundred".