11321200 has 120 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 3936000.

The previous prime is 11321197. The next prime is 11321203. The reversal of 11321200 is 212311.

It is an interprime number because it is at equal distance from previous prime (11321197) and next prime (11321203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321203) 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, 136359 + ... + 136441.

Almost surely, 2^11321200 is an apocalyptic number.

11321200 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 11321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

11321200 is an abundant number, since it is smaller than the sum of its proper divisors (19676816).

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

11321200 is a wasteful number, since it uses less digits than its factorization.

11321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

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

The square root of 11321200 is about 3364.6990950158. The cubic root of 11321200 is about 224.5419487983.

Adding to 11321200 its reverse (212311), we get a palindrome (11533511).

Subtracting from 11321200 its reverse (212311), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1132 and 1200, that added together give a palindrome (2332).

The spelling of 11321200 in words is "eleven million, three hundred twenty-one thousand, two hundred".