30000128800 has 144 divisors (see below), whose sum is σ = 75897720360. Its totient is φ = 11565711360.

The previous prime is 30000128791. The next prime is 30000128801. The reversal of 30000128800 is 882100003.

It can be written as a sum of positive squares in 12 ways, for example, as 16319551504 + 13680577296 = 127748^2 + 116964^2 .

It is not an unprimeable number, because it can be changed into a prime (30000128801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23129752 + ... + 23131048.

Almost surely, 2^30000128800 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 30000128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37948860180).

30000128800 is an abundant number, since it is smaller than the sum of its proper divisors (45897591560).

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

30000128800 is a wasteful number, since it uses less digits than its factorization.

30000128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 30000128800 its reverse (882100003), we get a palindrome (30882228803).

The spelling of 30000128800 in words is "thirty billion, one hundred twenty-eight thousand, eight hundred".