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12221201212201 = 175313564041301
BaseRepresentation
bin1011000111010111100001…
…0110110110001100101001
31121021100001112011221220101
42301311320112312030221
53100213010002242301
641554201535425401
72400644521210552
oct261657026661451
947240045157811
1012221201212201
113991a89529583
121454673685261
136a85ba213827
1430371b70d329
15162d7c7da701
hexb1d785b6329

12221201212201 has 8 divisors (see below), whose sum is σ = 13184248145544. Its totient is φ = 11285282361600.

The previous prime is 12221201212169. The next prime is 12221201212211. The reversal of 12221201212201 is 10221210212221.

It can be written as a sum of positive squares in 4 ways, for example, as 6840081776025 + 5381119436176 = 2615355^2 + 2319724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221201212201 - 25 = 12221201212169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221201212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6782019750 + ... + 6782021551.

It is an arithmetic number, because the mean of its divisors is an integer number (1648031018193).

Almost surely, 212221201212201 is an apocalyptic number.

It is an amenable number.

12221201212201 is a deficient number, since it is larger than the sum of its proper divisors (963046933343).

12221201212201 is a wasteful number, since it uses less digits than its factorization.

12221201212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564041371.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221201212201 its reverse (10221210212221), we get a palindrome (22442411424422).

It can be divided in two parts, 1222120 and 1212201, that added together give a triangular number (2434321 = T2206).

The spelling of 12221201212201 in words is "twelve trillion, two hundred twenty-one billion, two hundred one million, two hundred twelve thousand, two hundred one".

Divisors: 1 17 53 901 13564041301 230588702117 718894188953 12221201212201