30020200320000 has 880 divisors, whose sum is σ = 109259473276800. Its totient is φ = 7265402880000.

The previous prime is 30020200319929. The next prime is 30020200320023. The reversal of 30020200320000 is 2300202003.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 23844479371 + ... + 23844480629.

It is an arithmetic number, because the mean of its divisors is an integer number (124158492360).

Almost surely, 2^{30020200320000} is an apocalyptic number.

30020200320000 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 30020200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54629736638400).

30020200320000 is an abundant number, since it is smaller than the sum of its proper divisors (79239272956800).

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

30020200320000 is a wasteful number, since it uses less digits than its factorization.

30020200320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30020200320000 its reverse (2300202003), we get a palindrome (30022500522003).

It can be divided in two parts, 300202003 and 20000, that added together give a palindrome (300222003).

The spelling of 30020200320000 in words is "thirty trillion, twenty billion, two hundred million, three hundred twenty thousand".