11297200 has 60 divisors (see below), whose sum is σ = 27646048. Its totient is φ = 4435200.

The previous prime is 11297189. The next prime is 11297203. The reversal of 11297200 is 279211.

It is not an unprimeable number, because it can be changed into a prime (11297203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24169 + ... + 24631.

Almost surely, 2^11297200 is an apocalyptic number.

11297200 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 11297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823024).

11297200 is an abundant number, since it is smaller than the sum of its proper divisors (16348848).

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

11297200 is a wasteful number, since it uses less digits than its factorization.

11297200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 11297200 is about 3361.1307621097. The cubic root of 11297200 is about 224.3831664742.

The spelling of 11297200 in words is "eleven million, two hundred ninety-seven thousand, two hundred".