33333000133212 has 144 divisors (see below), whose sum is σ = 90868518730080. Its totient is φ = 10241770291200.

The previous prime is 33333000133151. The next prime is 33333000133229. The reversal of 33333000133212 is 21233100033333.

33333000133212 is a `hidden beast` number, since 3 + 3 + 3 + 330 + 0 + 0 + 1 + 3 + 321 + 2 = 666.

It is a super-2 number, since 2×33333000133212² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1461257287 + ... + 1461280097.

It is an arithmetic number, because the mean of its divisors is an integer number (631031380070).

Almost surely, 2^{33333000133212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33333000133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45434259365040).

33333000133212 is an abundant number, since it is smaller than the sum of its proper divisors (57535518596868).

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

33333000133212 is a wasteful number, since it uses less digits than its factorization.

33333000133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27124 (or 27119 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 33333000133212 its reverse (21233100033333), we get a palindrome (54566100166545).

The spelling of 33333000133212 in words is "thirty-three trillion, three hundred thirty-three billion, one hundred thirty-three thousand, two hundred twelve".