30221303112000 has 4032 divisors, whose sum is σ = 151828891119360. Its totient is φ = 5636542464000.

The previous prime is 30221303111953. The next prime is 30221303112017. The reversal of 30221303112000 is 21130312203.

30221303112000 is a `hidden beast` number, since 3 + 0 + 22 + 130 + 311 + 200 + 0 = 666.

30221303112000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 575 ways as a sum of consecutive naturals, for example, 18666647191 + ... + 18666648809.

It is an arithmetic number, because the mean of its divisors is an integer number (37655974980).

Almost surely, 2^{30221303112000} is an apocalyptic number.

30221303112000 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 30221303112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75914445559680).

30221303112000 is an abundant number, since it is smaller than the sum of its proper divisors (121607588007360).

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

30221303112000 is a wasteful number, since it uses less digits than its factorization.

30221303112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30221303112000 its reverse (21130312203), we get a palindrome (30242433424203).

It can be divided in two parts, 30221303 and 112000, that added together give a palindrome (30333303).

The spelling of 30221303112000 in words is "thirty trillion, two hundred twenty-one billion, three hundred three million, one hundred twelve thousand".