30120900336 has 120 divisors (see below), whose sum is σ = 89612724240. Its totient is φ = 9417600000.

The previous prime is 30120900331. The next prime is 30120900361. The reversal of 30120900336 is 63300902103.

30120900336 is a `hidden beast` number, since 301 + 20 + 9 + 0 + 0 + 336 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120900331) 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 23 ways as a sum of consecutive naturals, for example, 221836 + ... + 330836.

It is an arithmetic number, because the mean of its divisors is an integer number (746772702).

Almost surely, 2^30120900336 is an apocalyptic number.

30120900336 is a gapful number since it is divisible by the number (36) 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 30120900336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44806362120).

30120900336 is an abundant number, since it is smaller than the sum of its proper divisors (59491823904).

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

30120900336 is a wasteful number, since it uses less digits than its factorization.

30120900336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109135 (or 109126 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 30120900336 in words is "thirty billion, one hundred twenty million, nine hundred thousand, three hundred thirty-six".