30011220132300 has 432 divisors, whose sum is σ = 109542721317120. Its totient is φ = 6795448128000.

The previous prime is 30011220132251. The next prime is 30011220132307. The reversal of 30011220132300 is 323102211003.

30011220132300 is a `hidden beast` number, since 3 + 0 + 0 + 11 + 220 + 132 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30011220132307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12231514 + ... + 14478686.

It is an arithmetic number, because the mean of its divisors is an integer number (253571114160).

Almost surely, 2^{30011220132300} is an apocalyptic number.

30011220132300 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 30011220132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54771360658560).

30011220132300 is an abundant number, since it is smaller than the sum of its proper divisors (79531501184820).

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

30011220132300 is a wasteful number, since it uses less digits than its factorization.

30011220132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247294 (or 2247284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30011220132300 its reverse (323102211003), we get a palindrome (30334322343303).

The spelling of 30011220132300 in words is "thirty trillion, eleven billion, two hundred twenty million, one hundred thirty-two thousand, three hundred".