33000122032 has 80 divisors (see below), whose sum is σ = 69509836800. Its totient is φ = 15126566400.

The previous prime is 33000121997. The next prime is 33000122039. The reversal of 33000122032 is 23022100033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33000121997 and 33000122015.

It is not an unprimeable number, because it can be changed into a prime (33000122039) 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, 1258657 + ... + 1284607.

It is an arithmetic number, because the mean of its divisors is an integer number (868872960).

Almost surely, 2^33000122032 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 33000122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34754918400).

33000122032 is an abundant number, since it is smaller than the sum of its proper divisors (36509714768).

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

33000122032 is a wasteful number, since it uses less digits than its factorization.

33000122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26114 (or 26108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33000122032 its reverse (23022100033), we get a palindrome (56022222065).

The spelling of 33000122032 in words is "thirty-three billion, one hundred twenty-two thousand, thirty-two".