201218931200 has 180 divisors, whose sum is σ = 579931000902. Its totient is φ = 68989132800.

The previous prime is 201218931131. The next prime is 201218931217. The reversal of 201218931200 is 2139812102.

It can be written as a sum of positive squares in 3 ways, for example, as 158888337664 + 42330593536 = 398608^2 + 205744^2 .

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 17 ways as a sum of consecutive naturals, for example, 466790 + ... + 787610.

Almost surely, 2^201218931200 is an apocalyptic number.

201218931200 is a gapful number since it is divisible by the number (20) 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 201218931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289965500451).

201218931200 is an abundant number, since it is smaller than the sum of its proper divisors (378712069702).

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

201218931200 is an equidigital number, since it uses as much as digits as its factorization.

201218931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320863 (or 320835 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 201218931200 in words is "two hundred one billion, two hundred eighteen million, nine hundred thirty-one thousand, two hundred".