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12221110101201 = 361372710338849
BaseRepresentation
bin1011000111010111001011…
…1011010010010011010001
31121021022211011202001002220
42301311302323102103101
53100212313141214301
641554144522531253
72400642333610041
oct261656273222321
947238734661086
1012221110101201
113991a42059531
121454649066b29
136a85a4392cb1
1430370d593721
15162d747de936
hexb1d72ed24d1

12221110101201 has 32 divisors (see below), whose sum is σ = 16361516371200. Its totient is φ = 8114146596864.

The previous prime is 12221110101197. The next prime is 12221110101203. The reversal of 12221110101201 is 10210101112221.

It is a happy number.

It is not a de Polignac number, because 12221110101201 - 22 = 12221110101197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221110101203) 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 31 ways as a sum of consecutive naturals, for example, 1381068025 + ... + 1381076873.

It is an arithmetic number, because the mean of its divisors is an integer number (511297386600).

Almost surely, 212221110101201 is an apocalyptic number.

It is an amenable number.

12221110101201 is a deficient number, since it is larger than the sum of its proper divisors (4140406269999).

12221110101201 is a wasteful number, since it uses less digits than its factorization.

12221110101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12221110101201 its reverse (10210101112221), we get a palindrome (22431211213422).

The spelling of 12221110101201 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, one hundred one thousand, two hundred one".

Divisors: 1 3 613 727 1033 1839 2181 3099 8849 26547 445651 633229 750991 1336953 1899687 2252973 5424437 6433223 9141017 16273311 19299669 27423051 460357483 1381072449 3943565699 5603443421 6645519359 11830697097 16810330263 19936558077 4073703367067 12221110101201