1000222012321 has 9 divisors (see below), whose sum is σ = 1163531709171. Its totient is φ = 857327152752.

The previous prime is 1000222012319. The next prime is 1000222012369. The reversal of 1000222012321 is 1232102220001.

It is a happy number.

The square root of 1000222012321 is 1000111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 878465680225 + 121756332096 = 937265^2 + 348936^2 .

It is not a de Polignac number, because 1000222012321 - 2¹ = 1000222012319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000222012295 and 1000222012304.

It is not an unprimeable number, because it can be changed into a prime (1000222312321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6929341 + ... + 7072213.

It is an arithmetic number, because the mean of its divisors is an integer number (129281301019).

Almost surely, 2^{1000222012321} is an apocalyptic number.

1000222012321 is the 1000111-st square number.

1000222012321 is the 500056-th centered octagonal number.

It is an amenable number.

1000222012321 is a deficient number, since it is larger than the sum of its proper divisors (163309696850).

1000222012321 is an frugal number, since it uses more digits than its factorization.

1000222012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285760 (or 142880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 1000222012321 by its sum of digits (16), we get a square (16003552197136 = 4000444²).

Adding to 1000222012321 its reverse (1232102220001), we get a palindrome (2232324232322).

The spelling of 1000222012321 in words is "one trillion, two hundred twenty-two million, twelve thousand, three hundred twenty-one".