30025101216000 has 576 divisors, whose sum is σ = 108871005874176. Its totient is φ = 7273700352000.

The previous prime is 30025101215971. The next prime is 30025101216001. The reversal of 30025101216000 is 61210152003.

It is not an unprimeable number, because it can be changed into a prime (30025101216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629398787 + ... + 1629417213.

It is an arithmetic number, because the mean of its divisors is an integer number (189012162976).

Almost surely, 2^{30025101216000} is an apocalyptic number.

30025101216000 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 30025101216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54435502937088).

30025101216000 is an abundant number, since it is smaller than the sum of its proper divisors (78845904658176).

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

30025101216000 is a wasteful number, since it uses less digits than its factorization.

30025101216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20015 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 30025101216000 its reverse (61210152003), we get a palindrome (30086311368003).

The spelling of 30025101216000 in words is "thirty trillion, twenty-five billion, one hundred one million, two hundred sixteen thousand".