11201000 has 64 divisors (see below), whose sum is σ = 27406080. Its totient is φ = 4276800.

The previous prime is 11200999. The next prime is 11201017. The reversal of 11201000 is 10211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22757 + ... + 23243.

It is an arithmetic number, because the mean of its divisors is an integer number (428220).

Almost surely, 2^11201000 is an apocalyptic number.

11201000 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 11201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703040).

11201000 is an abundant number, since it is smaller than the sum of its proper divisors (16205080).

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

11201000 is a wasteful number, since it uses less digits than its factorization.

11201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11201000 is about 3346.7895063777. The cubic root of 11201000 is about 223.7444470809.

Adding to 11201000 its reverse (10211), we get a palindrome (11211211).

The spelling of 11201000 in words is "eleven million, two hundred one thousand".