11745200 has 30 divisors (see below), whose sum is σ = 28218804. Its totient is φ = 4697920.

The previous prime is 11745199. The next prime is 11745221. The reversal of 11745200 is 254711.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14282 + ... + 15081.

Almost surely, 2^11745200 is an apocalyptic number.

11745200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11745200 is an abundant number, since it is smaller than the sum of its proper divisors (16473604).

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

11745200 is a wasteful number, since it uses less digits than its factorization.

11745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29381 (or 29370 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 11745200 is about 3427.1270767218. The cubic root of 11745200 is about 227.3108357915.

Adding to 11745200 its reverse (254711), we get a palindrome (11999911).

The spelling of 11745200 in words is "eleven million, seven hundred forty-five thousand, two hundred".