30002222010200 has 192 divisors, whose sum is σ = 76234308192000. Its totient is φ = 10890165312000.

The previous prime is 30002222010179. The next prime is 30002222010209. The reversal of 30002222010200 is 201022220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002222010209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3745124195 + ... + 3745132205.

It is an arithmetic number, because the mean of its divisors is an integer number (397053688500).

Almost surely, 2^{30002222010200} 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 30002222010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38117154096000).

30002222010200 is an abundant number, since it is smaller than the sum of its proper divisors (46232086181800).

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

30002222010200 is a wasteful number, since it uses less digits than its factorization.

30002222010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 30002222010200 its reverse (201022220003), we get a palindrome (30203244230203).

The spelling of 30002222010200 in words is "thirty trillion, two billion, two hundred twenty-two million, ten thousand, two hundred".