123871567104 has 216 divisors, whose sum is σ = 369272572032. Its totient is φ = 39904358400.

The previous prime is 123871567103. The next prime is 123871567139. The reversal of 123871567104 is 401765178321.

123871567104 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 71 + 567 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123871567104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123871567103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12867637 + ... + 12877259.

Almost surely, 2^123871567104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123871567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184636286016).

123871567104 is an abundant number, since it is smaller than the sum of its proper divisors (245401004928).

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

123871567104 is a wasteful number, since it uses less digits than its factorization.

123871567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 123871567104 in words is "one hundred twenty-three billion, eight hundred seventy-one million, five hundred sixty-seven thousand, one hundred four".