304242401200 has 120 divisors (see below), whose sum is σ = 758440296992. Its totient is φ = 117186600960.

The previous prime is 304242401191. The next prime is 304242401209. The reversal of 304242401200 is 2104242403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (304242401191) and next prime (304242401209).

It is a super-2 number, since 2×304242401200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (304242401209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329637 + ... + 1541563.

Almost surely, 2^304242401200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304242401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379220148496).

304242401200 is an abundant number, since it is smaller than the sum of its proper divisors (454197895792).

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

304242401200 is a wasteful number, since it uses less digits than its factorization.

304242401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212079 (or 212068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 304242401200 its reverse (2104242403), we get a palindrome (306346643603).

The spelling of 304242401200 in words is "three hundred four billion, two hundred forty-two million, four hundred one thousand, two hundred".