11345200 has 60 divisors (see below), whose sum is σ = 27607608. Its totient is φ = 4480000.

The previous prime is 11345197. The next prime is 11345203. The reversal of 11345200 is 254311.

It is an interprime number because it is at equal distance from previous prime (11345197) and next prime (11345203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11345203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45075 + ... + 45325.

Almost surely, 2^11345200 is an apocalyptic number.

11345200 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 11345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803804).

11345200 is an abundant number, since it is smaller than the sum of its proper divisors (16262408).

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

11345200 is a wasteful number, since it uses less digits than its factorization.

11345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11345200 is about 3368.2636476381. The cubic root of 11345200 is about 224.7005068772.

Adding to 11345200 its reverse (254311), we get a palindrome (11599511).

It can be divided in two parts, 113 and 45200, that multiplied together give a square (5107600 = 2260²).

The spelling of 11345200 in words is "eleven million, three hundred forty-five thousand, two hundred".