123040513728 has 840 divisors, whose sum is σ = 432788811840. Its totient is φ = 34252968960.

The previous prime is 123040513691. The next prime is 123040513733. The reversal of 123040513728 is 827315040321.

123040513728 is a `hidden beast` number, since 1 + 2 + 30 + 40 + 513 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123040513692 and 123040513701.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 885183483 + ... + 885183621.

It is an arithmetic number, because the mean of its divisors is an integer number (515224776).

Almost surely, 2^123040513728 is an apocalyptic number.

123040513728 is a gapful number since it is divisible by the number (18) 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 123040513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216394405920).

123040513728 is an abundant number, since it is smaller than the sum of its proper divisors (309748298112).

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

123040513728 is a wasteful number, since it uses less digits than its factorization.

123040513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 123040513728 in words is "one hundred twenty-three billion, forty million, five hundred thirteen thousand, seven hundred twenty-eight".