204221001312 has 288 divisors, whose sum is σ = 606706420320. Its totient is φ = 65111040000.

The previous prime is 204221001251. The next prime is 204221001317. The reversal of 204221001312 is 213100122402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204221001317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129993487 + ... + 129995057.

It is an arithmetic number, because the mean of its divisors is an integer number (2106619515).

Almost surely, 2^204221001312 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 204221001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303353210160).

204221001312 is an abundant number, since it is smaller than the sum of its proper divisors (402485419008).

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

204221001312 is a wasteful number, since it uses less digits than its factorization.

204221001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204221001312 its reverse (213100122402), we get a palindrome (417321123714).

The spelling of 204221001312 in words is "two hundred four billion, two hundred twenty-one million, one thousand, three hundred twelve".