1210201022016 has 336 divisors, whose sum is σ = 4034932207488. Its totient is φ = 339655680000.

The previous prime is 1210201021993. The next prime is 1210201022033. The reversal of 1210201022016 is 6102201020121.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1210201022016.

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 47 ways as a sum of consecutive naturals, for example, 73870146 + ... + 73886526.

It is an arithmetic number, because the mean of its divisors is an integer number (12008726808).

Almost surely, 2^{1210201022016} is an apocalyptic number.

1210201022016 is a gapful number since it is divisible by the number (16) 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 1210201022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017466103744).

1210201022016 is an abundant number, since it is smaller than the sum of its proper divisors (2824731185472).

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

1210201022016 is a wasteful number, since it uses less digits than its factorization.

1210201022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1210201022016 its reverse (6102201020121), we get a palindrome (7312402042137).

The spelling of 1210201022016 in words is "one trillion, two hundred ten billion, two hundred one million, twenty-two thousand, sixteen".