11520221344000 has 144 divisors (see below), whose sum is σ = 28710348750720. Its totient is φ = 4606155724800.

The previous prime is 11520221343923. The next prime is 11520221344013. The reversal of 11520221344000 is 44312202511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77461711 + ... + 77610289.

It is an arithmetic number, because the mean of its divisors is an integer number (199377421880).

Almost surely, 2^{11520221344000} is an apocalyptic number.

11520221344000 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 11520221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355174375360).

11520221344000 is an abundant number, since it is smaller than the sum of its proper divisors (17190127406720).

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

11520221344000 is an equidigital number, since it uses as much as digits as its factorization.

11520221344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151033 (or 151009 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11520221344000 its reverse (44312202511), we get a palindrome (11564533546511).

The spelling of 11520221344000 in words is "eleven trillion, five hundred twenty billion, two hundred twenty-one million, three hundred forty-four thousand".