23231122435200 has 192 divisors, whose sum is σ = 76525177655520. Its totient is φ = 6194345164800.

The previous prime is 23231122435193. The next prime is 23231122435217. The reversal of 23231122435200 is 253422113232.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 99983160 + ... + 100215240.

Almost surely, 2^{23231122435200} is an apocalyptic number.

23231122435200 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 23231122435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38262588827760).

23231122435200 is an abundant number, since it is smaller than the sum of its proper divisors (53294055220320).

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

23231122435200 is a wasteful number, since it uses less digits than its factorization.

23231122435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242535 (or 242518 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 23231122435200 its reverse (253422113232), we get a palindrome (23484544548432).

The spelling of 23231122435200 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred twenty-two million, four hundred thirty-five thousand, two hundred".