11144021200 has 60 divisors (see below), whose sum is σ = 28833025228. Its totient is φ = 4114713600.

The previous prime is 11144021191. The next prime is 11144021201. The reversal of 11144021200 is 212044111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7862416 + 11136158784 = 2804^2 + 105528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144021201) 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 11 ways as a sum of consecutive naturals, for example, 1066341 + ... + 1076740.

Almost surely, 2^11144021200 is an apocalyptic number.

11144021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144021200 is an abundant number, since it is smaller than the sum of its proper divisors (17689004028).

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

11144021200 is a wasteful number, since it uses less digits than its factorization.

11144021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143112 (or 2143101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11144021200 its reverse (212044111), we get a palindrome (11356065311).

The spelling of 11144021200 in words is "eleven billion, one hundred forty-four million, twenty-one thousand, two hundred".