123231684096 has 480 divisors, whose sum is σ = 386075289600. Its totient is φ = 39196016640.

The previous prime is 123231684091. The next prime is 123231684119. The reversal of 123231684096 is 690486132321.

123231684096 is a `hidden beast` number, since 1 + 2 + 3 + 231 + 6 + 8 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123231684091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343263565 + ... + 343263923.

It is an arithmetic number, because the mean of its divisors is an integer number (804323520).

Almost surely, 2^123231684096 is an apocalyptic number.

123231684096 is a gapful number since it is divisible by the number (16) 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 123231684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193037644800).

123231684096 is an abundant number, since it is smaller than the sum of its proper divisors (262843605504).

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

123231684096 is an frugal number, since it uses more digits than its factorization.

123231684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 123231684096 in words is "one hundred twenty-three billion, two hundred thirty-one million, six hundred eighty-four thousand, ninety-six".