23133121123200 has 1152 divisors, whose sum is σ = 85010682405600. Its totient is φ = 5524316160000.

The previous prime is 23133121123171. The next prime is 23133121123201. The reversal of 23133121123200 is 232112133132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133121123201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 31559510034 + ... + 31559510766.

Almost surely, 2^{23133121123200} is an apocalyptic number.

23133121123200 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 23133121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42505341202800).

23133121123200 is an abundant number, since it is smaller than the sum of its proper divisors (61877561282400).

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

23133121123200 is a wasteful number, since it uses less digits than its factorization.

23133121123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23133121123200 its reverse (232112133132), we get a palindrome (23365233256332).

The spelling of 23133121123200 in words is "twenty-three trillion, one hundred thirty-three billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".