123330314240 has 240 divisors, whose sum is σ = 339728256000. Its totient is φ = 42102423552.

The previous prime is 123330314227. The next prime is 123330314267. The reversal of 123330314240 is 42413033321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257474321 + ... + 257474799.

It is an arithmetic number, because the mean of its divisors is an integer number (1415534400).

Almost surely, 2^123330314240 is an apocalyptic number.

123330314240 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 123330314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169864128000).

123330314240 is an abundant number, since it is smaller than the sum of its proper divisors (216397941760).

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

123330314240 is an frugal number, since it uses more digits than its factorization.

123330314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 123330314240 its reverse (42413033321), we get a palindrome (165743347561).

The spelling of 123330314240 in words is "one hundred twenty-three billion, three hundred thirty million, three hundred fourteen thousand, two hundred forty".