33122411322 has 384 divisors, whose sum is σ = 94319769600. Its totient is φ = 7616125440.

The previous prime is 33122411317. The next prime is 33122411339. The reversal of 33122411322 is 22311422133.

It is a junction number, because it is equal to n+sod(n) for n = 33122411292 and 33122411301.

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 191 ways as a sum of consecutive naturals, for example, 166444179 + ... + 166444377.

It is an arithmetic number, because the mean of its divisors is an integer number (245624400).

Almost surely, 2^33122411322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122411322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47159884800).

33122411322 is an abundant number, since it is smaller than the sum of its proper divisors (61197358278).

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

33122411322 is a wasteful number, since it uses less digits than its factorization.

33122411322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 33122411322 its reverse (22311422133), we get a palindrome (55433833455).

It can be divided in two parts, 33122 and 411322, that added together give a palindrome (444444).

The spelling of 33122411322 in words is "thirty-three billion, one hundred twenty-two million, four hundred eleven thousand, three hundred twenty-two".