23112444403200 has 960 divisors, whose sum is σ = 78911994737664. Its totient is φ = 5960908800000.

The previous prime is 23112444403183. The next prime is 23112444403229. The reversal of 23112444403200 is 230444421132.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×23112444403200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49918886169 + ... + 49918886631.

Almost surely, 2^{23112444403200} is an apocalyptic number.

23112444403200 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 23112444403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39455997368832).

23112444403200 is an abundant number, since it is smaller than the sum of its proper divisors (55799550334464).

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

23112444403200 is a wasteful number, since it uses less digits than its factorization.

23112444403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23112444403200 its reverse (230444421132), we get a palindrome (23342888824332).

The spelling of 23112444403200 in words is "twenty-three trillion, one hundred twelve billion, four hundred forty-four million, four hundred three thousand, two hundred".