30132102112200 has 288 divisors, whose sum is σ = 110413044050400. Its totient is φ = 7303430016000.

The previous prime is 30132102112193. The next prime is 30132102112219. The reversal of 30132102112200 is 221120123103.

30132102112200 is a `hidden beast` number, since 30 + 1 + 321 + 0 + 2 + 112 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111556911 + ... + 111826689.

It is an arithmetic number, because the mean of its divisors is an integer number (383378625175).

Almost surely, 2^{30132102112200} is an apocalyptic number.

30132102112200 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 30132102112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55206522025200).

30132102112200 is an abundant number, since it is smaller than the sum of its proper divisors (80280941938200).

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

30132102112200 is a wasteful number, since it uses less digits than its factorization.

30132102112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275453 (or 275441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30132102112200 its reverse (221120123103), we get a palindrome (30353222235303).

The spelling of 30132102112200 in words is "thirty trillion, one hundred thirty-two billion, one hundred two million, one hundred twelve thousand, two hundred".