11955200 has 66 divisors (see below), whose sum is σ = 29697876. Its totient is φ = 4771840.

The previous prime is 11955197. The next prime is 11955211. The reversal of 11955200 is 255911.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25367 + ... + 25833.

Almost surely, 2^11955200 is an apocalyptic number.

11955200 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 11955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848938).

11955200 is an abundant number, since it is smaller than the sum of its proper divisors (17742676).

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

11955200 is an equidigital number, since it uses as much as digits as its factorization.

11955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 11955200 is about 3457.6292455959. The cubic root of 11955200 is about 228.6575865670.

The spelling of 11955200 in words is "eleven million, nine hundred fifty-five thousand, two hundred".