11244035301120 has 216 divisors, whose sum is σ = 38989852902000. Its totient is φ = 2991730065408.

The previous prime is 11244035301049. The next prime is 11244035301157. The reversal of 11244035301120 is 2110353044211.

11244035301120 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 0 + 3 + 530 + 1 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4085571 + ... + 6259389.

It is an arithmetic number, because the mean of its divisors is an integer number (180508578250).

Almost surely, 2^{11244035301120} is an apocalyptic number.

11244035301120 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 11244035301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494926451000).

11244035301120 is an abundant number, since it is smaller than the sum of its proper divisors (27745817600880).

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

11244035301120 is a wasteful number, since it uses less digits than its factorization.

11244035301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174295 (or 2174278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11244035301120 its reverse (2110353044211), we get a palindrome (13354388345331).

The spelling of 11244035301120 in words is "eleven trillion, two hundred forty-four billion, thirty-five million, three hundred one thousand, one hundred twenty".