2023442112300 has 288 divisors, whose sum is σ = 6787437576192. Its totient is φ = 455833681920.

The previous prime is 2023442112193. The next prime is 2023442112311. The reversal of 2023442112300 is 32112443202.

It is a happy number.

It is a super-2 number, since 2×2023442112300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254933932 + ... + 254941868.

It is an arithmetic number, because the mean of its divisors is an integer number (23567491584).

Almost surely, 2^{2023442112300} is an apocalyptic number.

2023442112300 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 2023442112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393718788096).

2023442112300 is an abundant number, since it is smaller than the sum of its proper divisors (4763995463892).

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

2023442112300 is a wasteful number, since it uses less digits than its factorization.

2023442112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2023442112300 its reverse (32112443202), we get a palindrome (2055554555502).

The spelling of 2023442112300 in words is "two trillion, twenty-three billion, four hundred forty-two million, one hundred twelve thousand, three hundred".