123041318400 has 2160 divisors, whose sum is σ = 601833584352. Its totient is φ = 23357030400.

The previous prime is 123041318327. The next prime is 123041318417. The reversal of 123041318400 is 4813140321.

123041318400 is a `hidden beast` number, since 1 + 2 + 304 + 1 + 318 + 40 + 0 = 666.

It is a super-2 number, since 2×123041318400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1268467152 + ... + 1268467248.

Almost surely, 2^123041318400 is an apocalyptic number.

123041318400 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 123041318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300916792176).

123041318400 is an abundant number, since it is smaller than the sum of its proper divisors (478792265952).

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

123041318400 is a wasteful number, since it uses less digits than its factorization.

123041318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 123041318400 its reverse (4813140321), we get a palindrome (127854458721).

The spelling of 123041318400 in words is "one hundred twenty-three billion, forty-one million, three hundred eighteen thousand, four hundred".