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12211121111201 = 131180151757171
BaseRepresentation
bin1011000110110001111110…
…0010010100000010100001
31121020101001000200202212022
42301230133202110002201
53100031334001024301
641545413412111225
72400136651602155
oct261543742240241
947211030622768
1012211121111201
1139887865844a1
12145271b905515
136a7671a5c01c
14303042a99065
1516298c8a8d1b
hexb1b1f8940a1

12211121111201 has 8 divisors (see below), whose sum is σ = 12311167960608. Its totient is φ = 12111177780000.

The previous prime is 12211121111197. The next prime is 12211121111207. The reversal of 12211121111201 is 10211112111221.

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 12211121111201 - 22 = 12211121111197 is a prime.

It is a super-2 number, since 2×122111211112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12211121111201.

It is not an unprimeable number, because it can be changed into a prime (12211121111207) 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 7 ways as a sum of consecutive naturals, for example, 25642655 + ... + 26114516.

It is an arithmetic number, because the mean of its divisors is an integer number (1538895995076).

Almost surely, 212211121111201 is an apocalyptic number.

It is an amenable number.

12211121111201 is a deficient number, since it is larger than the sum of its proper divisors (100046849407).

12211121111201 is a wasteful number, since it uses less digits than its factorization.

12211121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51759103.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12211121111201 its reverse (10211112111221), we get a palindrome (22422233222422).

The spelling of 12211121111201 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".

Divisors: 1 131 1801 235931 51757171 6780189401 93214664971 12211121111201