30195712000 has 288 divisors, whose sum is σ = 80152843680. Its totient is φ = 11324620800.

The previous prime is 30195711991. The next prime is 30195712031. The reversal of 30195712000 is 21759103.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30195712000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311295952 + ... + 311296048.

It is an arithmetic number, because the mean of its divisors is an integer number (278308485).

Almost surely, 2^30195712000 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 30195712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40076421840).

30195712000 is an abundant number, since it is smaller than the sum of its proper divisors (49957131680).

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

30195712000 is an frugal number, since it uses more digits than its factorization.

30195712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The spelling of 30195712000 in words is "thirty billion, one hundred ninety-five million, seven hundred twelve thousand".