30300001200 has 360 divisors, whose sum is σ = 120581636448. Its totient is φ = 6902046720.

The previous prime is 30300001177. The next prime is 30300001217. The reversal of 30300001200 is 210000303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7986504 + ... + 7990296.

Almost surely, 2^30300001200 is an apocalyptic number.

30300001200 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 30300001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60290818224).

30300001200 is an abundant number, since it is smaller than the sum of its proper divisors (90281635248).

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

30300001200 is a wasteful number, since it uses less digits than its factorization.

30300001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30300001200 its reverse (210000303), we get a palindrome (30510001503).

The spelling of 30300001200 in words is "thirty billion, three hundred million, one thousand, two hundred".