30345012200 has 96 divisors (see below), whose sum is σ = 72369531000. Its totient is φ = 11828444160.

The previous prime is 30345012161. The next prime is 30345012239. The reversal of 30345012200 is 221054303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30345012161) and next prime (30345012239).

It can be written as a sum of positive squares in 12 ways, for example, as 5645117956 + 24699894244 = 75134^2 + 157162^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569794 + ... + 1589006.

Almost surely, 2^30345012200 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 30345012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36184765500).

30345012200 is an abundant number, since it is smaller than the sum of its proper divisors (42024518800).

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

30345012200 is a wasteful number, since it uses less digits than its factorization.

30345012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 30345012200 its reverse (221054303), we get a palindrome (30566066503).

The spelling of 30345012200 in words is "thirty billion, three hundred forty-five million, twelve thousand, two hundred".