11213200 has 90 divisors (see below), whose sum is σ = 28912646. Its totient is φ = 4177920.

The previous prime is 11213197. The next prime is 11213201. The reversal of 11213200 is 231211.

It can be written as a sum of positive squares in 9 ways, for example, as 767376 + 10445824 = 876^2 + 3232^2 .

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 (11213201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115552 + ... + 115648.

Almost surely, 2^11213200 is an apocalyptic number.

11213200 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 11213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456323).

11213200 is an abundant number, since it is smaller than the sum of its proper divisors (17699446).

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

11213200 is a wasteful number, since it uses less digits than its factorization.

11213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

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

The square root of 11213200 is about 3348.6116526107. The cubic root of 11213200 is about 223.8256508962.

Adding to 11213200 its reverse (231211), we get a palindrome (11444411).

The spelling of 11213200 in words is "eleven million, two hundred thirteen thousand, two hundred".