33120120 has 96 divisors (see below), whose sum is σ = 109262160. Its totient is φ = 8025600.

The previous prime is 33120119. The next prime is 33120137. The reversal of 33120120 is 2102133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 33120096 and 33120105.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13380 + ... + 15660.

Almost surely, 2^33120120 is an apocalyptic number.

33120120 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 33120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54631080).

33120120 is an abundant number, since it is smaller than the sum of its proper divisors (76142040).

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

33120120 is a wasteful number, since it uses less digits than its factorization.

33120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 33120120 is about 5755.0082536865. The cubic root of 33120120 is about 321.1421425781.

Adding to 33120120 its reverse (2102133), we get a palindrome (35222253).

The spelling of 33120120 in words is "thirty-three million, one hundred twenty thousand, one hundred twenty".