30414200220200 has 48 divisors (see below), whose sum is σ = 71146837769280. Its totient is φ = 12091044000960.

The previous prime is 30414200220193. The next prime is 30414200220251. The reversal of 30414200220200 is 202200241403.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466442864 + ... + 466508063.

It is an arithmetic number, because the mean of its divisors is an integer number (1482225786860).

Almost surely, 2^{30414200220200} is an apocalyptic number.

It is an amenable number.

30414200220200 is an abundant number, since it is smaller than the sum of its proper divisors (40732637549080).

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

30414200220200 is a wasteful number, since it uses less digits than its factorization.

30414200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932951106 (or 932951097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30414200220200 its reverse (202200241403), we get a palindrome (30616400461603).

The spelling of 30414200220200 in words is "thirty trillion, four hundred fourteen billion, two hundred million, two hundred twenty thousand, two hundred".