33020340120 has 160 divisors (see below), whose sum is σ = 111303292320. Its totient is φ = 8780175360.

The previous prime is 33020340061. The next prime is 33020340121. The reversal of 33020340120 is 2104302033.

33020340120 is a `hidden beast` number, since 3 + 302 + 0 + 340 + 1 + 20 = 666.

It is a super-2 number, since 2×33020340120² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33020340093 and 33020340102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020340121) 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 39 ways as a sum of consecutive naturals, for example, 1129285 + ... + 1158155.

It is an arithmetic number, because the mean of its divisors is an integer number (695645577).

Almost surely, 2^33020340120 is an apocalyptic number.

33020340120 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 33020340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651646160).

33020340120 is an abundant number, since it is smaller than the sum of its proper divisors (78282952200).

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

33020340120 is a wasteful number, since it uses less digits than its factorization.

33020340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29247 (or 29234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33020340120 its reverse (2104302033), we get a palindrome (35124642153).

The spelling of 33020340120 in words is "thirty-three billion, twenty million, three hundred forty thousand, one hundred twenty".