33122142 has 32 divisors (see below), whose sum is σ = 74345760. Its totient is φ = 10929600.

The previous prime is 33122101. The next prime is 33122143. The reversal of 33122142 is 24122133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122143) 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, 2418 + ... + 8490.

It is an arithmetic number, because the mean of its divisors is an integer number (2323305).

Almost surely, 2^33122142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37172880).

33122142 is an abundant number, since it is smaller than the sum of its proper divisors (41223618).

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

33122142 is a wasteful number, since it uses less digits than its factorization.

33122142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6179 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33122142 is about 5755.1839240810. The cubic root of 33122142 is about 321.1486777416.

Adding to 33122142 its reverse (24122133), we get a palindrome (57244275).

Subtracting from 33122142 its reverse (24122133), we obtain a palindrome (9000009).

The spelling of 33122142 in words is "thirty-three million, one hundred twenty-two thousand, one hundred forty-two".