30202303013120 has 432 divisors, whose sum is σ = 86226491469888. Its totient is φ = 10100850278400.

The previous prime is 30202303013101. The next prime is 30202303013131. The reversal of 30202303013120 is 2131030320203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30202303013092 and 30202303013101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2149470095 + ... + 2149484145.

It is an arithmetic number, because the mean of its divisors is an integer number (199598359884).

Almost surely, 2^{30202303013120} 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 30202303013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43113245734944).

30202303013120 is an abundant number, since it is smaller than the sum of its proper divisors (56024188456768).

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

30202303013120 is a wasteful number, since it uses less digits than its factorization.

30202303013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14926 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30202303013120 its reverse (2131030320203), we get a palindrome (32333333333323).

The spelling of 30202303013120 in words is "thirty trillion, two hundred two billion, three hundred three million, thirteen thousand, one hundred twenty".