30000001200 has 360 divisors, whose sum is σ = 107670363120. Its totient is φ = 7128576000.

The previous prime is 30000001177. The next prime is 30000001237. The reversal of 30000001200 is 210000003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 5878650 + ... + 5883750.

It is an arithmetic number, because the mean of its divisors is an integer number (299084342).

Almost surely, 2^30000001200 is an apocalyptic number.

30000001200 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 30000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53835181560).

30000001200 is an abundant number, since it is smaller than the sum of its proper divisors (77670361920).

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

30000001200 is a wasteful number, since it uses less digits than its factorization.

30000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 30000001200 its reverse (210000003), we get a palindrome (30210001203).

It can be divided in two parts, 3000000 and 1200, that multiplied together give a square (3600000000 = 60000²).

The spelling of 30000001200 in words is "thirty billion, one thousand, two hundred".