331201200 has 180 divisors, whose sum is σ = 1166677064. Its totient is φ = 80256000.

The previous prime is 331201193. The next prime is 331201229. The reversal of 331201200 is 2102133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 144060 + ... + 146340.

Almost surely, 2^331201200 is an apocalyptic number.

331201200 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 331201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583338532).

331201200 is an abundant number, since it is smaller than the sum of its proper divisors (835475864).

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

331201200 is a wasteful number, since it uses less digits than its factorization.

331201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331201200 is about 18198.9340347175. The cubic root of 331201200 is about 691.8797724015.

Adding to 331201200 its reverse (2102133), we get a palindrome (333303333).

The spelling of 331201200 in words is "three hundred thirty-one million, two hundred one thousand, two hundred".