11299200 has 192 divisors, whose sum is σ = 40979520. Its totient is φ = 2713600.

The previous prime is 11299199. The next prime is 11299207. The reversal of 11299200 is 299211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11299207) 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, 105547 + ... + 105653.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

Almost surely, 2^11299200 is an apocalyptic number.

11299200 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 11299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

11299200 is an abundant number, since it is smaller than the sum of its proper divisors (29680320).

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

11299200 is a wasteful number, since it uses less digits than its factorization.

11299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 11299200 is about 3361.4282678647. The cubic root of 11299200 is about 224.3964069188.

The spelling of 11299200 in words is "eleven million, two hundred ninety-nine thousand, two hundred".