11921200 has 30 divisors (see below), whose sum is σ = 28641644. Its totient is φ = 4768320.

The previous prime is 11921197. The next prime is 11921209. The reversal of 11921200 is 212911.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11921209) 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 5 ways as a sum of consecutive naturals, for example, 14502 + ... + 15301.

Almost surely, 2^11921200 is an apocalyptic number.

11921200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11921200 is an abundant number, since it is smaller than the sum of its proper divisors (16720444).

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

11921200 is a wasteful number, since it uses less digits than its factorization.

11921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29821 (or 29810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11921200 is about 3452.7090812868. The cubic root of 11921200 is about 228.4406171152.

It can be divided in two parts, 11921 and 200, that added together give a palindrome (12121).

The spelling of 11921200 in words is "eleven million, nine hundred twenty-one thousand, two hundred".