11200000 has 120 divisors (see below), whose sum is σ = 31966704. Its totient is φ = 3840000.

The previous prime is 11199989. The next prime is 11200001. The reversal of 11200000 is 211.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599997 + ... + 1600003.

Almost surely, 2^11200000 is an apocalyptic number.

11200000 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 11200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983352).

11200000 is an abundant number, since it is smaller than the sum of its proper divisors (20766704).

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

11200000 is an frugal number, since it uses more digits than its factorization.

11200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 11200000 is about 3346.6401061363. The cubic root of 11200000 is about 223.7377884163.

Adding to 11200000 its reverse (211), we get a palindrome (11200211).

The spelling of 11200000 in words is "eleven million, two hundred thousand".