33121132096 has 112 divisors (see below), whose sum is σ = 77362629120. Its totient is φ = 13923164160.

The previous prime is 33121132091. The next prime is 33121132097. The reversal of 33121132096 is 69023112133.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (33121132091) by changing a digit.

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, 400695 + ... + 476233.

It is an arithmetic number, because the mean of its divisors is an integer number (690737760).

Almost surely, 2^33121132096 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 33121132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38681314560).

33121132096 is an abundant number, since it is smaller than the sum of its proper divisors (44241497024).

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

33121132096 is a wasteful number, since it uses less digits than its factorization.

33121132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75612 (or 75602 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 33121132096 in words is "thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, ninety-six".