30121332300 has 288 divisors, whose sum is σ = 100341077760. Its totient is φ = 7843106880.

The previous prime is 30121332271. The next prime is 30121332337. The reversal of 30121332300 is 323312103.

30121332300 is a `hidden beast` number, since 30 + 1 + 2 + 1 + 332 + 300 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9402499 + ... + 9405701.

It is an arithmetic number, because the mean of its divisors is an integer number (348406520).

Almost surely, 2^30121332300 is an apocalyptic number.

30121332300 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 30121332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50170538880).

30121332300 is an abundant number, since it is smaller than the sum of its proper divisors (70219745460).

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

30121332300 is a wasteful number, since it uses less digits than its factorization.

30121332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30121332300 its reverse (323312103), we get a palindrome (30444644403).

The spelling of 30121332300 in words is "thirty billion, one hundred twenty-one million, three hundred thirty-two thousand, three hundred".