11201008 has 80 divisors (see below), whose sum is σ = 27428800. Its totient is φ = 4402944.

The previous prime is 11200999. The next prime is 11201017. The reversal of 11201008 is 80010211.

It is an interprime number because it is at equal distance from previous prime (11200999) and next prime (11201017).

It is a Harshad number since it is a multiple of its sum of digits (13).

11201008 is a modest number, since divided by 1008 gives 112 as remainder.

It is a congruent number.

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, 71266 + ... + 71422.

It is an arithmetic number, because the mean of its divisors is an integer number (342860).

Almost surely, 2^11201008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714400).

11201008 is an abundant number, since it is smaller than the sum of its proper divisors (16227792).

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

11201008 is a wasteful number, since it uses less digits than its factorization.

11201008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 11201008 is about 3346.7907015528. The cubic root of 11201008 is about 223.7445003486.

Adding to 11201008 its reverse (80010211), we get a palindrome (91211219).

The spelling of 11201008 in words is "eleven million, two hundred one thousand, eight".