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12201222212101 = 1317411346564641
BaseRepresentation
bin1011000110001101000110…
…0001000000101000000101
31121012102111011011121002201
42301203101201000220011
53044401100341241401
641541055240234501
72366336442416056
oct261432141005005
947172434147081
1012201222212101
11398456694304a
12145081876ba31
136a6754cac490
1430278413272d
151625ad81bb01
hexb18d1840a05

12201222212101 has 16 divisors (see below), whose sum is σ = 14252040170928. Its totient is φ = 10341616435200.

The previous prime is 12201222212099. The next prime is 12201222212149. The reversal of 12201222212101 is 10121222210221.

It can be written as a sum of positive squares in 8 ways, for example, as 40316624100 + 12160905588001 = 200790^2 + 3487249^2 .

It is not a de Polignac number, because 12201222212101 - 21 = 12201222212099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222210101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673273260 + ... + 673291381.

It is an arithmetic number, because the mean of its divisors is an integer number (890752510683).

Almost surely, 212201222212101 is an apocalyptic number.

It is an amenable number.

12201222212101 is a deficient number, since it is larger than the sum of its proper divisors (2050817958827).

12201222212101 is a wasteful number, since it uses less digits than its factorization.

12201222212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346564712.

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

Adding to 12201222212101 its reverse (10121222210221), we get a palindrome (22322444422322).

The spelling of 12201222212101 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".

Divisors: 1 13 17 41 221 533 697 9061 1346564641 17505340333 22891598897 55209150281 297590785661 717718953653 938555554777 12201222212101