30003120311200 has 144 divisors (see below), whose sum is σ = 73657941840000. Its totient is φ = 11933680112640.

The previous prime is 30003120311179. The next prime is 30003120311221. The reversal of 30003120311200 is 211302130003.

It is an interprime number because it is at equal distance from previous prime (30003120311179) and next prime (30003120311221).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 265648341 + ... + 265761259.

It is an arithmetic number, because the mean of its divisors is an integer number (511513485000).

Almost surely, 2^{30003120311200} 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 30003120311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828970920000).

30003120311200 is an abundant number, since it is smaller than the sum of its proper divisors (43654821528800).

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

30003120311200 is a wasteful number, since it uses less digits than its factorization.

30003120311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114807 (or 114794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30003120311200 its reverse (211302130003), we get a palindrome (30214422441203).

The spelling of 30003120311200 in words is "thirty trillion, three billion, one hundred twenty million, three hundred eleven thousand, two hundred".