30120967800 has 672 divisors, whose sum is σ = 130956439680. Its totient is φ = 6256569600.

The previous prime is 30120967787. The next prime is 30120967817. The reversal of 30120967800 is 876902103.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11225259 + ... + 11227941.

Almost surely, 2^30120967800 is an apocalyptic number.

30120967800 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 30120967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65478219840).

30120967800 is an abundant number, since it is smaller than the sum of its proper divisors (100835471880).

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

30120967800 is a wasteful number, since it uses less digits than its factorization.

30120967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30120967800 in words is "thirty billion, one hundred twenty million, nine hundred sixty-seven thousand, eight hundred".