11851200 has 126 divisors (see below), whose sum is σ = 42173144. Its totient is φ = 3156480.

The previous prime is 11851181. The next prime is 11851201. The reversal of 11851200 is 215811.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11851201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13989 + ... + 14811.

Almost surely, 2^11851200 is an apocalyptic number.

11851200 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 11851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21086572).

11851200 is an abundant number, since it is smaller than the sum of its proper divisors (30321944).

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

11851200 is a wasteful number, since it uses less digits than its factorization.

11851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11851200 is about 3442.5571890675. The cubic root of 11851200 is about 227.9926128724.

The spelling of 11851200 in words is "eleven million, eight hundred fifty-one thousand, two hundred".