11324412303120 has 240 divisors, whose sum is σ = 43485654775680. Its totient is φ = 2587157784576.

The previous prime is 11324412303103. The next prime is 11324412303121. The reversal of 11324412303120 is 2130321442311.

11324412303120 is a `hidden beast` number, since 1 + 1 + 324 + 4 + 1 + 23 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11324412303120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11324412303121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9661836 + ... + 10770324.

It is an arithmetic number, because the mean of its divisors is an integer number (181190228232).

Almost surely, 2^{11324412303120} is an apocalyptic number.

11324412303120 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 11324412303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742827387840).

11324412303120 is an abundant number, since it is smaller than the sum of its proper divisors (32161242472560).

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

11324412303120 is a wasteful number, since it uses less digits than its factorization.

11324412303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110542 (or 1110533 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11324412303120 its reverse (2130321442311), we get a palindrome (13454733745431).

The spelling of 11324412303120 in words is "eleven trillion, three hundred twenty-four billion, four hundred twelve million, three hundred three thousand, one hundred twenty".