123201110144 has 128 divisors (see below), whose sum is σ = 287253216000. Its totient is φ = 51539963904.

The previous prime is 123201110141. The next prime is 123201110189. The reversal of 123201110144 is 441011102321.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (123201110141) by changing a digit.

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, 9443594 + ... + 9456630.

It is an arithmetic number, because the mean of its divisors is an integer number (2244165750).

Almost surely, 2^123201110144 is an apocalyptic number.

123201110144 is a gapful number since it is divisible by the number (14) 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 123201110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143626608000).

123201110144 is an abundant number, since it is smaller than the sum of its proper divisors (164052105856).

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

123201110144 is a wasteful number, since it uses less digits than its factorization.

123201110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13298 counting only the distinct ones).

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

Adding to 123201110144 its reverse (441011102321), we get a palindrome (564212212465).

The spelling of 123201110144 in words is "one hundred twenty-three billion, two hundred one million, one hundred ten thousand, one hundred forty-four".