232112333023200 has 864 divisors, whose sum is σ = 959017819556160. Its totient is φ = 51717559910400.

The previous prime is 232112333023033. The next prime is 232112333023237. The reversal of 232112333023200 is 2320333211232.

232112333023200 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 2 + 3 + 330 + 2 + 320 + 0 = 666.

232112333023200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232112333023200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2539559902 + ... + 2539651298.

It is an arithmetic number, because the mean of its divisors is an integer number (1109974328190).

Almost surely, 2^{232112333023200} is an apocalyptic number.

232112333023200 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 232112333023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479508909778080).

232112333023200 is an abundant number, since it is smaller than the sum of its proper divisors (726905486532960).

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

232112333023200 is a wasteful number, since it uses less digits than its factorization.

232112333023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92700 (or 92684 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232112333023200 its reverse (2320333211232), we get a palindrome (234432666234432).

The spelling of 232112333023200 in words is "two hundred thirty-two trillion, one hundred twelve billion, three hundred thirty-three million, twenty-three thousand, two hundred".