33122112 has 56 divisors (see below), whose sum is σ = 88245696. Its totient is φ = 10963968.

The previous prime is 33122101. The next prime is 33122143. The reversal of 33122112 is 21122133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33122091 and 33122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31548 + ... + 32580.

It is an arithmetic number, because the mean of its divisors is an integer number (1575816).

Almost surely, 2^33122112 is an apocalyptic number.

33122112 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 33122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44122848).

33122112 is an abundant number, since it is smaller than the sum of its proper divisors (55123584).

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

33122112 is a wasteful number, since it uses less digits than its factorization.

33122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 33122112 is about 5755.1813177345. The cubic root of 33122112 is about 321.1485807827.

Adding to 33122112 its reverse (21122133), we get a palindrome (54244245).

The spelling of 33122112 in words is "thirty-three million, one hundred twenty-two thousand, one hundred twelve".