33315430120 has 128 divisors (see below), whose sum is σ = 86717640960. Its totient is φ = 11283148800.

The previous prime is 33315430069. The next prime is 33315430139. The reversal of 33315430120 is 2103451333.

It is a super-2 number, since 2×33315430120² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11892720 + ... + 11895520.

It is an arithmetic number, because the mean of its divisors is an integer number (677481570).

Almost surely, 2^33315430120 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 33315430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43358820480).

33315430120 is an abundant number, since it is smaller than the sum of its proper divisors (53402210840).

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

33315430120 is a wasteful number, since it uses less digits than its factorization.

33315430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 33315430120 its reverse (2103451333), we get a palindrome (35418881453).

The spelling of 33315430120 in words is "thirty-three billion, three hundred fifteen million, four hundred thirty thousand, one hundred twenty".