11216400 has 120 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 2757120.

The previous prime is 11216399. The next prime is 11216423. The reversal of 11216400 is 461211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×11216400³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11216400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15241 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 2^11216400 is an apocalyptic number.

11216400 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 11216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

11216400 is an abundant number, since it is smaller than the sum of its proper divisors (27531120).

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

11216400 is a wasteful number, since it uses less digits than its factorization.

11216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11216400 is about 3349.0894284865. The cubic root of 11216400 is about 223.8469405061.

Adding to 11216400 its reverse (461211), we get a palindrome (11677611).

The spelling of 11216400 in words is "eleven million, two hundred sixteen thousand, four hundred".