33012322112 has 112 divisors (see below), whose sum is σ = 81769305600. Its totient is φ = 12846835200.

The previous prime is 33012322037. The next prime is 33012322121. The reversal of 33012322112 is 21122321033.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33012322112² (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4781639 + ... + 4788537.

Almost surely, 2^33012322112 is an apocalyptic number.

33012322112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884652800).

33012322112 is an abundant number, since it is smaller than the sum of its proper divisors (48756983488).

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

33012322112 is a wasteful number, since it uses less digits than its factorization.

33012322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33012322112 its reverse (21122321033), we get a palindrome (54134643145).

The spelling of 33012322112 in words is "thirty-three billion, twelve million, three hundred twenty-two thousand, one hundred twelve".