30012200512400 has 480 divisors, whose sum is σ = 76078224015360. Its totient is φ = 11364240384000.

The previous prime is 30012200512291. The next prime is 30012200512409. The reversal of 30012200512400 is 421500221003.

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

It is not an unprimeable number, because it can be changed into a prime (30012200512409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43432996055 + ... + 43432996745.

It is an arithmetic number, because the mean of its divisors is an integer number (158496300032).

Almost surely, 2^{30012200512400} 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 30012200512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039112007680).

30012200512400 is an abundant number, since it is smaller than the sum of its proper divisors (46066023502960).

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

30012200512400 is a wasteful number, since it uses less digits than its factorization.

30012200512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30012200512400 its reverse (421500221003), we get a palindrome (30433700733403).

The spelling of 30012200512400 in words is "thirty trillion, twelve billion, two hundred million, five hundred twelve thousand, four hundred".