11324221224400 has 90 divisors (see below), whose sum is σ = 31648309545030. Its totient is φ = 3882590127360.

The previous prime is 11324221224341. The next prime is 11324221224413. The reversal of 11324221224400 is 442212242311.

It can be written as a sum of positive squares in 3 ways, for example, as 2309743406656 + 9014477817744 = 1519784^2 + 3002412^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288863595 + ... + 288902794.

Almost surely, 2^{11324221224400} is an apocalyptic number.

11324221224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11324221224400 is an abundant number, since it is smaller than the sum of its proper divisors (20324088320630).

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

11324221224400 is a wasteful number, since it uses less digits than its factorization.

11324221224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577766421 (or 577766403 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11324221224400 its reverse (442212242311), we get a palindrome (11766433466711).

The spelling of 11324221224400 in words is "eleven trillion, three hundred twenty-four billion, two hundred twenty-one million, two hundred twenty-four thousand, four hundred".