30012304120200 has 576 divisors, whose sum is σ = 105845369510400. Its totient is φ = 7613624678400.

The previous prime is 30012304120189. The next prime is 30012304120229. The reversal of 30012304120200 is 202140321003.

30012304120200 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 230 + 412 + 0 + 20 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 541896510 + ... + 541951890.

Almost surely, 2^{30012304120200} is an apocalyptic number.

30012304120200 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 30012304120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52922684755200).

30012304120200 is an abundant number, since it is smaller than the sum of its proper divisors (75833065390200).

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

30012304120200 is a wasteful number, since it uses less digits than its factorization.

30012304120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55622 (or 55610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30012304120200 its reverse (202140321003), we get a palindrome (30214444441203).

The spelling of 30012304120200 in words is "thirty trillion, twelve billion, three hundred four million, one hundred twenty thousand, two hundred".