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12211202212101 = 321356800245789
BaseRepresentation
bin1011000110110010010001…
…0111101100000100000101
31121020101020200022010101100
42301230210113230010011
53100032020231241401
641545425430250313
72400141655132014
oct261544427540405
947211220263340
1012211202212101
113988818337832
121452742ab6999
136a76857b6519
1430304d76aa7b
15162994a78b86
hexb1b245ec105

12211202212101 has 6 divisors (see below), whose sum is σ = 17638403195270. Its totient is φ = 8140801474728.

The previous prime is 12211202212019. The next prime is 12211202212117. The reversal of 12211202212101 is 10121220211221.

12211202212101 is a `hidden beast` number, since 1 + 2 + 211 + 20 + 221 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8952058016001 + 3259144196100 = 2991999^2 + 1805310^2 .

It is not a de Polignac number, because 12211202212101 - 29 = 12211202211589 is a prime.

It is a super-2 number, since 2×122112022121012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211202212141) 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 5 ways as a sum of consecutive naturals, for example, 678400122886 + ... + 678400122903.

Almost surely, 212211202212101 is an apocalyptic number.

It is an amenable number.

12211202212101 is a deficient number, since it is larger than the sum of its proper divisors (5427200983169).

12211202212101 is a wasteful number, since it uses less digits than its factorization.

12211202212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356800245795 (or 1356800245792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211202212101 its reverse (10121220211221), we get a palindrome (22332422423322).

The spelling of 12211202212101 in words is "twelve trillion, two hundred eleven billion, two hundred two million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 1356800245789 4070400737367 12211202212101