20230124230400 has 216 divisors, whose sum is σ = 57307687635744. Its totient is φ = 6926137344000.

The previous prime is 20230124230333. The next prime is 20230124230411. The reversal of 20230124230400 is 403242103202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 31082714 + ... + 31726886.

It is an arithmetic number, because the mean of its divisors is an integer number (265313368684).

Almost surely, 2^{20230124230400} is an apocalyptic number.

20230124230400 is a gapful number since it is divisible by the number (20) 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 20230124230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28653843817872).

20230124230400 is an abundant number, since it is smaller than the sum of its proper divisors (37077563405344).

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

20230124230400 is an equidigital number, since it uses as much as digits as its factorization.

20230124230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644907 (or 644888 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20230124230400 its reverse (403242103202), we get a palindrome (20633366333602).

The spelling of 20230124230400 in words is "twenty trillion, two hundred thirty billion, one hundred twenty-four million, two hundred thirty thousand, four hundred".