11221404800 has 288 divisors, whose sum is σ = 29671733700. Its totient is φ = 4190208000.

The previous prime is 11221404787. The next prime is 11221404827. The reversal of 11221404800 is 840412211.

It can be written as a sum of positive squares in 6 ways, for example, as 423701056 + 10797703744 = 20584^2 + 103912^2 .

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 35 ways as a sum of consecutive naturals, for example, 126083156 + ... + 126083244.

Almost surely, 2^11221404800 is an apocalyptic number.

11221404800 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 11221404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835866850).

11221404800 is an abundant number, since it is smaller than the sum of its proper divisors (18450328900).

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

11221404800 is an equidigital number, since it uses as much as digits as its factorization.

11221404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 11221404800 in words is "eleven billion, two hundred twenty-one million, four hundred four thousand, eight hundred".