232123000032 has 144 divisors (see below), whose sum is σ = 822981624192. Its totient is φ = 60291682560.

The previous prime is 232123000007. The next prime is 232123000051. The reversal of 232123000032 is 230000321232.

It is a happy number.

232123000032 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232122999969 and 232123000014.

It is a congruent number.

It is an unprimeable number.

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, 5211478 + ... + 5255829.

It is an arithmetic number, because the mean of its divisors is an integer number (5715150168).

Almost surely, 2^232123000032 is an apocalyptic number.

232123000032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232123000032 is an abundant number, since it is smaller than the sum of its proper divisors (590858624160).

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

232123000032 is a wasteful number, since it uses less digits than its factorization.

232123000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467341 (or 10467330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232123000032 its reverse (230000321232), we get a palindrome (462123321264).

The spelling of 232123000032 in words is "two hundred thirty-two billion, one hundred twenty-three million, thirty-two", and thus it is an aban number.