11221443200 has 288 divisors, whose sum is σ = 30964801980. Its totient is φ = 4014489600.

The previous prime is 11221443199. The next prime is 11221443239. The reversal of 11221443200 is 234412211.

It can be written as a sum of positive squares in 6 ways, for example, as 5373476416 + 5847966784 = 73304^2 + 76472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28265402 + ... + 28265798.

Almost surely, 2^11221443200 is an apocalyptic number.

11221443200 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 11221443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482400990).

11221443200 is an abundant number, since it is smaller than the sum of its proper divisors (19743358780).

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

11221443200 is a wasteful number, since it uses less digits than its factorization.

11221443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11221443200 its reverse (234412211), we get a palindrome (11455855411).

The spelling of 11221443200 in words is "eleven billion, two hundred twenty-one million, four hundred forty-three thousand, two hundred".