33213120 has 112 divisors (see below), whose sum is σ = 109179360. Its totient is φ = 8544256.

The previous prime is 33213119. The next prime is 33213137. The reversal of 33213120 is 2131233.

It is a super-2 number, since 2×33213120² = 2206222680268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33213120.

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 15 ways as a sum of consecutive naturals, for example, 27244 + ... + 28436.

Almost surely, 2^33213120 is an apocalyptic number.

33213120 is a gapful number since it is divisible by the number (30) 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 33213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54589680).

33213120 is an abundant number, since it is smaller than the sum of its proper divisors (75966240).

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

33213120 is a wasteful number, since it uses less digits than its factorization.

33213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 33213120 is about 5763.0825085192. The cubic root of 33213120 is about 321.4424465263.

Adding to 33213120 its reverse (2131233), we get a palindrome (35344353).

It can be divided in two parts, 33213 and 120, that added together give a palindrome (33333).

The spelling of 33213120 in words is "thirty-three million, two hundred thirteen thousand, one hundred twenty".