330032132223121 has 8 divisors (see below), whose sum is σ = 330622958061000. Its totient is φ = 329441344296960.

The previous prime is 330032132223113. The next prime is 330032132223127. The reversal of 330032132223121 is 121322231230033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24899710781521 + 305132421441600 = 4989961^2 + 17468040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330032132223121 - 2³ = 330032132223113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330032132223121.

It is not an unprimeable number, because it can be changed into a prime (330032132223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7976961 + ... + 26901601.

It is an arithmetic number, because the mean of its divisors is an integer number (41327869757625).

Almost surely, 2^{330032132223121} is an apocalyptic number.

It is an amenable number.

330032132223121 is a deficient number, since it is larger than the sum of its proper divisors (590825837879).

330032132223121 is a wasteful number, since it uses less digits than its factorization.

330032132223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955859.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 330032132223121 its reverse (121322231230033), we get a palindrome (451354363453154).

The spelling of 330032132223121 in words is "three hundred thirty trillion, thirty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty-one".