300012000 has 192 divisors, whose sum is σ = 1026514944. Its totient is φ = 76454400.

The previous prime is 300011981. The next prime is 300012001. The reversal of 300012000 is 210003.

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 a self number, because there is not a number n which added to its sum of digits gives 300012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275457 + ... + 276543.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2^300012000 is an apocalyptic number.

300012000 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 300012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257472).

300012000 is an abundant number, since it is smaller than the sum of its proper divisors (726502944).

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

300012000 is a wasteful number, since it uses less digits than its factorization.

300012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1120 counting only the distinct ones).

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

The square root of 300012000 is about 17320.8544823863. The cubic root of 300012000 is about 669.4418757358.

Adding to 300012000 its reverse (210003), we get a palindrome (300222003).

It can be divided in two parts, 3000 and 12000, that multiplied together give a square (36000000 = 6000²).

The spelling of 300012000 in words is "three hundred million, twelve thousand".