32123222120133 has 24 divisors (see below), whose sum is σ = 46411702286040. Its totient is φ = 21410177817600.

The previous prime is 32123222120057. The next prime is 32123222120183. The reversal of 32123222120133 is 33102122232123.

32123222120133 is a `hidden beast` number, since 3 + 2 + 1 + 232 + 221 + 201 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17856903902049 + 14266318218084 = 4225743^2 + 3777078^2 .

It is not a de Polignac number, because 32123222120133 - 2⁹ = 32123222119621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32123222120097 and 32123222120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32123222120183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130726833 + ... + 1130755241.

It is an arithmetic number, because the mean of its divisors is an integer number (1933820928585).

Almost surely, 2^{32123222120133} is an apocalyptic number.

It is an amenable number.

32123222120133 is a deficient number, since it is larger than the sum of its proper divisors (14288480165907).

32123222120133 is a wasteful number, since it uses less digits than its factorization.

32123222120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55109 (or 55106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32123222120133 its reverse (33102122232123), we get a palindrome (65225344352256).

The spelling of 32123222120133 in words is "thirty-two trillion, one hundred twenty-three billion, two hundred twenty-two million, one hundred twenty thousand, one hundred thirty-three".