33212144121233 has 12 divisors (see below), whose sum is σ = 42146765453232. Its totient is φ = 25879592821320.

The previous prime is 33212144121227. The next prime is 33212144121241.

33212144121233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33212144121233 - 2⁸ = 33212144120977 is a prime.

It is a super-2 number, since 2×33212144121233² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33212144121233.

It is not an unprimeable number, because it can be changed into a prime (33212144121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30809038535 + ... + 30809039612.

It is an arithmetic number, because the mean of its divisors is an integer number (3512230454436).

Almost surely, 2^{33212144121233} is an apocalyptic number.

It is an amenable number.

33212144121233 is a deficient number, since it is larger than the sum of its proper divisors (8934621331999).

33212144121233 is a wasteful number, since it uses less digits than its factorization.

33212144121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61618078172 (or 61618078165 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3321214 and 4121233, that added together give a palindrome (7442447).

The spelling of 33212144121233 in words is "thirty-three trillion, two hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred thirty-three".