11241223224 has 256 divisors, whose sum is σ = 36340531200. Its totient is φ = 2812147200.

The previous prime is 11241223187. The next prime is 11241223243. The reversal of 11241223224 is 42232214211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11241223194 and 11241223203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18159987 + ... + 18160605.

It is an arithmetic number, because the mean of its divisors is an integer number (141955200).

Almost surely, 2^11241223224 is an apocalyptic number.

11241223224 is a gapful number since it is divisible by the number (14) 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 11241223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170265600).

11241223224 is an abundant number, since it is smaller than the sum of its proper divisors (25099307976).

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

11241223224 is a wasteful number, since it uses less digits than its factorization.

11241223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

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

Adding to 11241223224 its reverse (42232214211), we get a palindrome (53473437435).

The spelling of 11241223224 in words is "eleven billion, two hundred forty-one million, two hundred twenty-three thousand, two hundred twenty-four".