11312200 has 48 divisors (see below), whose sum is σ = 26538480. Its totient is φ = 4484160.

The previous prime is 11312183. The next prime is 11312207. The reversal of 11312200 is 221311.

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

It is not an unprimeable number, because it can be changed into a prime (11312207) 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, 32427 + ... + 32773.

It is an arithmetic number, because the mean of its divisors is an integer number (552885).

Almost surely, 2^11312200 is an apocalyptic number.

11312200 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 11312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269240).

11312200 is an abundant number, since it is smaller than the sum of its proper divisors (15226280).

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

11312200 is a wasteful number, since it uses less digits than its factorization.

11312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11312200 is about 3363.3614138240. The cubic root of 11312200 is about 224.4824317481.

Adding to 11312200 its reverse (221311), we get a palindrome (11533511).

The spelling of 11312200 in words is "eleven million, three hundred twelve thousand, two hundred".