30201202200 has 384 divisors, whose sum is σ = 102893414400. Its totient is φ = 7283589120.

The previous prime is 30201202153. The next prime is 30201202279. The reversal of 30201202200 is 220210203.

It is a super-2 number, since 2×30201202200² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135431289 + ... + 135431511.

It is an arithmetic number, because the mean of its divisors is an integer number (267951600).

Almost surely, 2^30201202200 is an apocalyptic number.

30201202200 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 30201202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51446707200).

30201202200 is an abundant number, since it is smaller than the sum of its proper divisors (72692212200).

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

30201202200 is a wasteful number, since it uses less digits than its factorization.

30201202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

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

Adding to 30201202200 its reverse (220210203), we get a palindrome (30421412403).

The spelling of 30201202200 in words is "thirty billion, two hundred one million, two hundred two thousand, two hundred".