30220321123200 has 384 divisors, whose sum is σ = 107215686506880. Its totient is φ = 7437410426880.

The previous prime is 30220321123193. The next prime is 30220321123217. The reversal of 30220321123200 is 232112302203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739169959 + ... + 739210841.

It is an arithmetic number, because the mean of its divisors is an integer number (279207516945).

Almost surely, 2^{30220321123200} is an apocalyptic number.

30220321123200 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 30220321123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53607843253440).

30220321123200 is an abundant number, since it is smaller than the sum of its proper divisors (76995365383680).

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

30220321123200 is a wasteful number, since it uses less digits than its factorization.

30220321123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46846 (or 46829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30220321123200 its reverse (232112302203), we get a palindrome (30452433425403).

The spelling of 30220321123200 in words is "thirty trillion, two hundred twenty billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred".