11220224640 has 128 divisors (see below), whose sum is σ = 36217670400. Its totient is φ = 2954145792.

The previous prime is 11220224591. The next prime is 11220224681. The reversal of 11220224640 is 4642202211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11220224640.

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 15 ways as a sum of consecutive naturals, for example, 114694 + ... + 188666.

It is an arithmetic number, because the mean of its divisors is an integer number (282950550).

Almost surely, 2^11220224640 is an apocalyptic number.

11220224640 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 11220224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108835200).

11220224640 is an abundant number, since it is smaller than the sum of its proper divisors (24997445760).

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

11220224640 is an equidigital number, since it uses as much as digits as its factorization.

11220224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74074 (or 74062 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11220224640 its reverse (4642202211), we get a palindrome (15862426851).

The spelling of 11220224640 in words is "eleven billion, two hundred twenty million, two hundred twenty-four thousand, six hundred forty".