11221000 has 96 divisors (see below), whose sum is σ = 30677400. Its totient is φ = 3830400.

The previous prime is 11220997. The next prime is 11221009. The reversal of 11221000 is 12211.

It can be written as a sum of positive squares in 4 ways, for example, as 6140484 + 5080516 = 2478^2 + 2254^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (11221009) 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, 48886 + ... + 49114.

Almost surely, 2^11221000 is an apocalyptic number.

11221000 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 11221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338700).

11221000 is an abundant number, since it is smaller than the sum of its proper divisors (19456400).

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

11221000 is a wasteful number, since it uses less digits than its factorization.

11221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11221000 is about 3349.7761119215. The cubic root of 11221000 is about 223.8775372274.

Adding to 11221000 its reverse (12211), we get a palindrome (11233211).

It can be divided in two parts, 112 and 21000, that added together give a palindrome (21112).

The spelling of 11221000 in words is "eleven million, two hundred twenty-one thousand".