23042241331200 has 3192 divisors, whose sum is σ = 107439190514208. Its totient is φ = 4769930280960.

The previous prime is 23042241331189. The next prime is 23042241331223. The reversal of 23042241331200 is 213314224032.

23042241331200 is a `hidden beast` number, since 2 + 3 + 0 + 42 + 2 + 413 + 3 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 434759270374 + ... + 434759270426.

Almost surely, 2^{23042241331200} is an apocalyptic number.

23042241331200 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 23042241331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53719595257104).

23042241331200 is an abundant number, since it is smaller than the sum of its proper divisors (84396949183008).

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

23042241331200 is an frugal number, since it uses more digits than its factorization.

23042241331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23042241331200 its reverse (213314224032), we get a palindrome (23255555555232).

The spelling of 23042241331200 in words is "twenty-three trillion, forty-two billion, two hundred forty-one million, three hundred thirty-one thousand, two hundred".