30123353213200 has 240 divisors, whose sum is σ = 82157625950400. Its totient is φ = 10522020096000.

The previous prime is 30123353213153. The next prime is 30123353213201. The reversal of 30123353213200 is 231235332103.

It is not an unprimeable number, because it can be changed into a prime (30123353213201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69041331 + ... + 69476269.

It is an arithmetic number, because the mean of its divisors is an integer number (342323441460).

Almost surely, 2^{30123353213200} 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 30123353213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41078812975200).

30123353213200 is an abundant number, since it is smaller than the sum of its proper divisors (52034272737200).

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

30123353213200 is a wasteful number, since it uses less digits than its factorization.

30123353213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435690 (or 435679 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 30123353213200 its reverse (231235332103), we get a palindrome (30354588545303).

The spelling of 30123353213200 in words is "thirty trillion, one hundred twenty-three billion, three hundred fifty-three million, two hundred thirteen thousand, two hundred".