201210112320 has 448 divisors, whose sum is σ = 776558223360. Its totient is φ = 43089297408.

The previous prime is 201210112241. The next prime is 201210112339. The reversal of 201210112320 is 23211012102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201210112320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25928601 + ... + 25936359.

Almost surely, 2^201210112320 is an apocalyptic number.

201210112320 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 201210112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388279111680).

201210112320 is an abundant number, since it is smaller than the sum of its proper divisors (575348111040).

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

201210112320 is a wasteful number, since it uses less digits than its factorization.

201210112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201210112320 its reverse (23211012102), we get a palindrome (224421124422).

The spelling of 201210112320 in words is "two hundred one billion, two hundred ten million, one hundred twelve thousand, three hundred twenty".