123872024040 has 128 divisors (see below), whose sum is σ = 373760956800. Its totient is φ = 32842368000.

The previous prime is 123872024021. The next prime is 123872024119. The reversal of 123872024040 is 40420278321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123872023992 and 123872024010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18460206 + ... + 18466914.

It is an arithmetic number, because the mean of its divisors is an integer number (2920007475).

Almost surely, 2^123872024040 is an apocalyptic number.

123872024040 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 123872024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186880478400).

123872024040 is an abundant number, since it is smaller than the sum of its proper divisors (249888932760).

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

123872024040 is a wasteful number, since it uses less digits than its factorization.

123872024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 123872024040 in words is "one hundred twenty-three billion, eight hundred seventy-two million, twenty-four thousand, forty".