123324694433472 has 448 divisors, whose sum is σ = 381935182970880. Its totient is φ = 34393202995200.

The previous prime is 123324694433399. The next prime is 123324694433483. The reversal of 123324694433472 is 274334496423321.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23575737097 + ... + 23575742327.

It is an arithmetic number, because the mean of its divisors is an integer number (852533890560).

Almost surely, 2^{123324694433472} is an apocalyptic number.

123324694433472 is a gapful number since it is divisible by the number (12) 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 123324694433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190967591485440).

123324694433472 is an abundant number, since it is smaller than the sum of its proper divisors (258610488537408).

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

123324694433472 is a wasteful number, since it uses less digits than its factorization.

123324694433472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7730 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 57.

The spelling of 123324694433472 in words is "one hundred twenty-three trillion, three hundred twenty-four billion, six hundred ninety-four million, four hundred thirty-three thousand, four hundred seventy-two".