123540330144 has 288 divisors, whose sum is σ = 417324071808. Its totient is φ = 31304908800.

The previous prime is 123540330071. The next prime is 123540330163. The reversal of 123540330144 is 441033045321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3315264 + ... + 3352320.

It is an arithmetic number, because the mean of its divisors is an integer number (1449041916).

Almost surely, 2^123540330144 is an apocalyptic number.

123540330144 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 123540330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208662035904).

123540330144 is an abundant number, since it is smaller than the sum of its proper divisors (293783741664).

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

123540330144 is a wasteful number, since it uses less digits than its factorization.

123540330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37140 (or 37121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 123540330144 its reverse (441033045321), we get a palindrome (564573375465).

The spelling of 123540330144 in words is "one hundred twenty-three billion, five hundred forty million, three hundred thirty thousand, one hundred forty-four".