123171721344 has 576 divisors, whose sum is σ = 442560456000. Its totient is φ = 32168005632.

The previous prime is 123171721297. The next prime is 123171721357. The reversal of 123171721344 is 443127171321.

123171721344 is a `hidden beast` number, since 123 + 171 + 7 + 21 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123171721299 and 123171721308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84421287 + ... + 84422745.

It is an arithmetic number, because the mean of its divisors is an integer number (768334125).

Almost surely, 2^123171721344 is an apocalyptic number.

123171721344 is a gapful number since it is divisible by the number (14) 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 123171721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221280228000).

123171721344 is an abundant number, since it is smaller than the sum of its proper divisors (319388734656).

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

123171721344 is a wasteful number, since it uses less digits than its factorization.

123171721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1519 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

Adding to 123171721344 its reverse (443127171321), we get a palindrome (566298892665).

The spelling of 123171721344 in words is "one hundred twenty-three billion, one hundred seventy-one million, seven hundred twenty-one thousand, three hundred forty-four".