232212133200 has 120 divisors (see below), whose sum is σ = 763957144288. Its totient is φ = 60249623040.

The previous prime is 232212133183. The next prime is 232212133201. The reversal of 232212133200 is 2331212232.

It is a happy number.

232212133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232212133201) 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 23 ways as a sum of consecutive naturals, for example, 2570602 + ... + 2659401.

Almost surely, 2^232212133200 is an apocalyptic number.

232212133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232212133200 is an abundant number, since it is smaller than the sum of its proper divisors (531745011088).

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

232212133200 is a wasteful number, since it uses less digits than its factorization.

232212133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230061 (or 5230050 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232212133200 its reverse (2331212232), we get a palindrome (234543345432).

The spelling of 232212133200 in words is "two hundred thirty-two billion, two hundred twelve million, one hundred thirty-three thousand, two hundred".