232133123200 has 576 divisors, whose sum is σ = 700093360800. Its totient is φ = 75202560000.

The previous prime is 232133123179. The next prime is 232133123237. The reversal of 232133123200 is 2321331232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193282600 + ... + 193283800.

Almost surely, 2^232133123200 is an apocalyptic number.

232133123200 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 232133123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350046680400).

232133123200 is an abundant number, since it is smaller than the sum of its proper divisors (467960237600).

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

232133123200 is a wasteful number, since it uses less digits than its factorization.

232133123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 232133123200 its reverse (2321331232), we get a palindrome (234454454432).

232133123200 divided by its reverse (2321331232) gives a square (100 = 10²).

It can be divided in two parts, 23213 and 3123200, that added together give a palindrome (3146413).

The spelling of 232133123200 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred".