33123220 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 11235840.

The previous prime is 33123217. The next prime is 33123227. The reversal of 33123220 is 2232133.

33123220 = 1479² + 1480² + ... + 1493².

It is a junction number, because it is equal to n+sod(n) for n = 33123194 and 33123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33123227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173325 + ... + 173515.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^33123220 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 33123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

33123220 is an abundant number, since it is smaller than the sum of its proper divisors (48161900).

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

33123220 is a wasteful number, since it uses less digits than its factorization.

33123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

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

The square root of 33123220 is about 5755.2775780148. The cubic root of 33123220 is about 321.1521617607.

Adding to 33123220 its reverse (2232133), we get a palindrome (35355353).

The spelling of 33123220 in words is "thirty-three million, one hundred twenty-three thousand, two hundred twenty".