11301224000000 has 560 divisors, whose sum is σ = 31015684244160. Its totient is φ = 4079616000000.

The previous prime is 11301223999999. The next prime is 11301224000023. The reversal of 11301224000000 is 42210311.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14695999616 + ... + 14696000384.

It is an arithmetic number, because the mean of its divisors is an integer number (55385150436).

Almost surely, 2^{11301224000000} is an apocalyptic number.

11301224000000 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 11301224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507842122080).

11301224000000 is an abundant number, since it is smaller than the sum of its proper divisors (19714460244160).

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

11301224000000 is an frugal number, since it uses more digits than its factorization.

11301224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11301224000000 its reverse (42210311), we get a palindrome (11301266210311).

The spelling of 11301224000000 in words is "eleven trillion, three hundred one billion, two hundred twenty-four million", and thus it is an aban number.