11111200 has 144 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3870720.

The previous prime is 11111173. The next prime is 11111209. The reversal of 11111200 is 211111.

It is not an unprimeable number, because it can be changed into a prime (11111209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258379 + ... + 258421.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 2^11111200 is an apocalyptic number.

11111200 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 11111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11111200 is an abundant number, since it is smaller than the sum of its proper divisors (19824320).

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

11111200 is a wasteful number, since it uses less digits than its factorization.

11111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 11111200 is about 3333.3466666400. The cubic root of 11111200 is about 223.1449117440.

Adding to 11111200 its reverse (211111), we get a palindrome (11322311).

It can be divided in two parts, 11111 and 200, that added together give a palindrome (11311).

The spelling of 11111200 in words is "eleven million, one hundred eleven thousand, two hundred".