11821232160 has 144 divisors (see below), whose sum is σ = 40369492800. Its totient is φ = 3150021120.

The previous prime is 11821232141. The next prime is 11821232161. The reversal of 11821232160 is 6123212811.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11821232161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020605 + ... + 3024515.

It is an arithmetic number, because the mean of its divisors is an integer number (280343700).

Almost surely, 2^11821232160 is an apocalyptic number.

11821232160 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 11821232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184746400).

11821232160 is an abundant number, since it is smaller than the sum of its proper divisors (28548260640).

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

11821232160 is a wasteful number, since it uses less digits than its factorization.

11821232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11821232160 its reverse (6123212811), we get a palindrome (17944444971).

The spelling of 11821232160 in words is "eleven billion, eight hundred twenty-one million, two hundred thirty-two thousand, one hundred sixty".