11314200 has 96 divisors (see below), whose sum is σ = 35600400. Its totient is φ = 2972160.

The previous prime is 11314157. The next prime is 11314207. The reversal of 11314200 is 241311.

It is a happy number.

It is a super-2 number, since 2×11314200² = 256022243280000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65314 + ... + 65486.

Almost surely, 2^11314200 is an apocalyptic number.

11314200 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 11314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800200).

11314200 is an abundant number, since it is smaller than the sum of its proper divisors (24286200).

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

11314200 is a wasteful number, since it uses less digits than its factorization.

11314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11314200 is about 3363.6587222844. The cubic root of 11314200 is about 224.4956604866.

Adding to 11314200 its reverse (241311), we get a palindrome (11555511).

The spelling of 11314200 in words is "eleven million, three hundred fourteen thousand, two hundred".