11747200 has 48 divisors (see below), whose sum is σ = 29027160. Its totient is φ = 4697600.

The previous prime is 11747191. The next prime is 11747207. The reversal of 11747200 is 274711.

11747200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11747207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1365 + ... + 5035.

Almost surely, 2^11747200 is an apocalyptic number.

11747200 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 11747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513580).

11747200 is an abundant number, since it is smaller than the sum of its proper divisors (17279960).

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

11747200 is an equidigital number, since it uses as much as digits as its factorization.

11747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 11747200 is about 3427.4188538899. The cubic root of 11747200 is about 227.3237373987.

The spelling of 11747200 in words is "eleven million, seven hundred forty-seven thousand, two hundred".