11221144000 has 224 divisors, whose sum is σ = 31367943360. Its totient is φ = 3938816000.

The previous prime is 11221143949. The next prime is 11221144001. The reversal of 11221144000 is 44112211.

It is a happy number.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549802 + ... + 2554198.

Almost surely, 2^11221144000 is an apocalyptic number.

11221144000 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 11221144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683971680).

11221144000 is an abundant number, since it is smaller than the sum of its proper divisors (20146799360).

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

11221144000 is a wasteful number, since it uses less digits than its factorization.

11221144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4444 counting only the distinct ones).

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

Adding to 11221144000 its reverse (44112211), we get a palindrome (11265256211).

It can be divided in two parts, 112 and 21144000, that added together give a palindrome (21144112).

The spelling of 11221144000 in words is "eleven billion, two hundred twenty-one million, one hundred forty-four thousand".