12321101144 has 64 divisors (see below), whose sum is σ = 25654060800. Its totient is φ = 5500598400.

The previous prime is 12321101137. The next prime is 12321101161. The reversal of 12321101144 is 44110112321.

12321101144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113754 + ... + 2119574.

It is an arithmetic number, because the mean of its divisors is an integer number (400844700).

Almost surely, 2^12321101144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827030400).

12321101144 is an abundant number, since it is smaller than the sum of its proper divisors (13332959656).

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

12321101144 is a wasteful number, since it uses less digits than its factorization.

12321101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12321101144 its reverse (44110112321), we get a palindrome (56431213465).

The spelling of 12321101144 in words is "twelve billion, three hundred twenty-one million, one hundred one thousand, one hundred forty-four".