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12211201302201 = 321117191911999343
BaseRepresentation
bin1011000110110010010001…
…0100001101111010111001
31121020101020121120220020100
42301230210110031322321
53100032020013132301
641545425354550013
72400141644322156
oct261544424157271
947211217526210
1012211201302201
113988817876150
121452742738309
136a7685558315
1430304d5b122d
15162994949286
hexb1b2450deb9

12211201302201 has 96 divisors (see below), whose sum is σ = 21558366535680. Its totient is φ = 6564239654400.

The previous prime is 12211201302193. The next prime is 12211201302253. The reversal of 12211201302201 is 10220310211221.

12211201302201 is a `hidden beast` number, since 1 + 2 + 211 + 201 + 30 + 220 + 1 = 666.

12211201302201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211201302201 - 23 = 12211201302193 is a prime.

It is a super-2 number, since 2×122112013022012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211201302271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5107936 + ... + 7107278.

It is an arithmetic number, because the mean of its divisors is an integer number (224566318080).

Almost surely, 212211201302201 is an apocalyptic number.

12211201302201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211201302201 is a deficient number, since it is larger than the sum of its proper divisors (9347165233479).

12211201302201 is a wasteful number, since it uses less digits than its factorization.

12211201302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999587 (or 1999584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211201302201 its reverse (10220310211221), we get a palindrome (22431511513422).

The spelling of 12211201302201 in words is "twelve trillion, two hundred eleven billion, two hundred one million, three hundred two thousand, two hundred one".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 191 209 323 561 573 627 969 1683 1719 1881 2101 2907 3247 3553 3629 6303 9741 10659 10887 18909 29223 31977 32661 35717 39919 61693 107151 119757 185079 321453 359271 555237 678623 1999343 2035869 5998029 6107607 17994087 21992773 33988831 37987517 65978319 101966493 113962551 197934957 305899479 341887653 373877141 381874513 417862687 645787789 1121631423 1145623539 1253588061 1937363367 3364894269 3436870617 3760764183 4200619643 5812090101 6491866721 7103665679 7255615747 12601858929 19475600163 21310997037 21766847241 37805576787 58426800489 63932991111 65300541723 71410533931 79811773217 123345467699 214231601793 239435319651 370036403097 642694805379 718305958953 1110109209291 1356800144689 4070400434067 12211201302201