11215200 has 72 divisors (see below), whose sum is σ = 36513288. Its totient is φ = 2990080.

The previous prime is 11215177. The next prime is 11215201. The reversal of 11215200 is 251211.

It is a super-2 number, since 2×11215200² = 251561422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11215201) 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, 64 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (507129).

Almost surely, 2^11215200 is an apocalyptic number.

11215200 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 11215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256644).

11215200 is an abundant number, since it is smaller than the sum of its proper divisors (25298088).

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

11215200 is a wasteful number, since it uses less digits than its factorization.

11215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11215200 is about 3348.9102705208. The cubic root of 11215200 is about 223.8389573770.

Adding to 11215200 its reverse (251211), we get a palindrome (11466411).

The spelling of 11215200 in words is "eleven million, two hundred fifteen thousand, two hundred".