330212212033 has 32 divisors (see below), whose sum is σ = 380414361600. Its totient is φ = 283477392000.

The previous prime is 330212212021. The next prime is 330212212037.

330212212033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330212212033 - 2⁹ = 330212211521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330212211995 and 330212212013.

It is not an unprimeable number, because it can be changed into a prime (330212212037) 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 31 ways as a sum of consecutive naturals, for example, 120999813 + ... + 121002541.

It is an arithmetic number, because the mean of its divisors is an integer number (11887948800).

Almost surely, 2^330212212033 is an apocalyptic number.

It is an amenable number.

330212212033 is a deficient number, since it is larger than the sum of its proper divisors (50202149567).

330212212033 is a wasteful number, since it uses less digits than its factorization.

330212212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 330212 and 212033, that added together give a palindrome (542245).

The spelling of 330212212033 in words is "three hundred thirty billion, two hundred twelve million, two hundred twelve thousand, thirty-three".