123915018240 has 1120 divisors, whose sum is σ = 509541444720. Its totient is φ = 28707913728.

The previous prime is 123915018233. The next prime is 123915018319. The reversal of 123915018240 is 42810519321.

123915018240 is a `hidden beast` number, since 1 + 2 + 39 + 1 + 501 + 82 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1672482816 + 122242535424 = 40896^2 + 349632^2 .

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 = 123915018195 and 123915018204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7289118712 + ... + 7289118728.

Almost surely, 2^123915018240 is an apocalyptic number.

123915018240 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 123915018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254770722360).

123915018240 is an abundant number, since it is smaller than the sum of its proper divisors (385626426480).

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

123915018240 is an frugal number, since it uses more digits than its factorization.

123915018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 123915018240 in words is "one hundred twenty-three billion, nine hundred fifteen million, eighteen thousand, two hundred forty".