23201145233200 has 120 divisors (see below), whose sum is σ = 62904923581680. Its totient is φ = 8145856588800.

The previous prime is 23201145233179. The next prime is 23201145233219. The reversal of 23201145233200 is 233254110232.

It is a happy 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, 90785979 + ... + 91041178.

It is an arithmetic number, because the mean of its divisors is an integer number (524207696514).

Almost surely, 2^{23201145233200} is an apocalyptic number.

23201145233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23201145233200 is an abundant number, since it is smaller than the sum of its proper divisors (39703778348480).

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

23201145233200 is a wasteful number, since it uses less digits than its factorization.

23201145233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181827215 (or 181827204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 23201145233200 its reverse (233254110232), we get a palindrome (23434399343432).

The spelling of 23201145233200 in words is "twenty-three trillion, two hundred one billion, one hundred forty-five million, two hundred thirty-three thousand, two hundred".