123535304144 has 60 divisors (see below), whose sum is σ = 278620560000. Its totient is φ = 52906924224.

The previous prime is 123535304129. The next prime is 123535304153. The reversal of 123535304144 is 441403535321.

123535304144 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 1089857 + ... + 1197855.

It is an arithmetic number, because the mean of its divisors is an integer number (4643676000).

Almost surely, 2^123535304144 is an apocalyptic number.

123535304144 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 123535304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139310280000).

123535304144 is an abundant number, since it is smaller than the sum of its proper divisors (155085255856).

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

123535304144 is a wasteful number, since it uses less digits than its factorization.

123535304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109480 (or 109467 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 123535304144 its reverse (441403535321), we get a palindrome (564938839465).

The spelling of 123535304144 in words is "one hundred twenty-three billion, five hundred thirty-five million, three hundred four thousand, one hundred forty-four".