30120202200 has 768 divisors, whose sum is σ = 115706880000. Its totient is φ = 6386688000.

The previous prime is 30120202199. The next prime is 30120202223. The reversal of 30120202200 is 220202103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151357701 + ... + 151357899.

It is an arithmetic number, because the mean of its divisors is an integer number (150660000).

Almost surely, 2^30120202200 is an apocalyptic number.

30120202200 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 30120202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440000).

30120202200 is an abundant number, since it is smaller than the sum of its proper divisors (85586677800).

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

30120202200 is a wasteful number, since it uses less digits than its factorization.

30120202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 30120202200 its reverse (220202103), we get a palindrome (30340404303).

The spelling of 30120202200 in words is "thirty billion, one hundred twenty million, two hundred two thousand, two hundred".