33133322112 has 128 divisors (see below), whose sum is σ = 96909955200. Its totient is φ = 9946429440.

The previous prime is 33133322081. The next prime is 33133322119. The reversal of 33133322112 is 21122333133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133322119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415314 + ... + 488622.

It is an arithmetic number, because the mean of its divisors is an integer number (757109025).

Almost surely, 2^33133322112 is an apocalyptic number.

33133322112 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 33133322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48454977600).

33133322112 is an abundant number, since it is smaller than the sum of its proper divisors (63776633088).

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

33133322112 is a wasteful number, since it uses less digits than its factorization.

33133322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73444 (or 73432 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 33133322112 its reverse (21122333133), we get a palindrome (54255655245).

The spelling of 33133322112 in words is "thirty-three billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred twelve".