11959200 has 216 divisors, whose sum is σ = 46309536. Its totient is φ = 2880000.

The previous prime is 11959163. The next prime is 11959201. The reversal of 11959200 is 295911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11959201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 79125 + ... + 79275.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 2^11959200 is an apocalyptic number.

11959200 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 11959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

11959200 is an abundant number, since it is smaller than the sum of its proper divisors (34350336).

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

11959200 is a wasteful number, since it uses less digits than its factorization.

11959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 11959200 is about 3458.2076282375. The cubic root of 11959200 is about 228.6830853279.

It can be divided in two parts, 119 and 59200, that added together give a cube (59319 = 39³).

The spelling of 11959200 in words is "eleven million, nine hundred fifty-nine thousand, two hundred".