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12211211220201 = 3272191937551083
BaseRepresentation
bin1011000110110010010011…
…1010000011010011101001
31121020101021022020210011200
42301230210322003103221
53100032030033021301
641545430351314413
72400142124530500
oct261544472032351
947211238223150
1012211211220201
11398882242a744
121452745b1ba09
136a768761b766
14303050a33837
15162995757c86
hexb1b24e834e9

12211211220201 has 72 divisors (see below), whose sum is σ = 21709970586720. Its totient is φ = 6576327926784.

The previous prime is 12211211220181. The next prime is 12211211220209. The reversal of 12211211220201 is 10202211211221.

12211211220201 is a `hidden beast` number, since 1 + 2 + 211 + 211 + 220 + 20 + 1 = 666.

It is not a de Polignac number, because 12211211220201 - 239 = 11661455406313 is a prime.

It is a super-2 number, since 2×122112112202012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211211220209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2158395 + ... + 5392688.

It is an arithmetic number, because the mean of its divisors is an integer number (301527369260).

Almost surely, 212211211220201 is an apocalyptic number.

It is an amenable number.

12211211220201 is a deficient number, since it is larger than the sum of its proper divisors (9498759366519).

12211211220201 is a wasteful number, since it uses less digits than its factorization.

12211211220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551315 (or 7551305 counting only the distinct ones).

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

Adding to 12211211220201 its reverse (10202211211221), we get a palindrome (22413422431422).

The spelling of 12211211220201 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 193 399 441 579 931 1197 1351 1737 2793 3667 4053 8379 9457 11001 12159 25669 28371 33003 77007 85113 179683 231021 539049 1617147 7551083 22653249 52857581 67959747 143470577 158572743 370003067 430411731 475718229 1004294039 1110009201 1291235193 1457359019 3012882117 3330027603 4372077057 7030058273 9038646351 10201513133 13116231171 21090174819 27689821361 30604539399 63270524457 71410591931 83069464083 91813618197 193828749527 214231775793 249208392249 581486248581 642695327379 1356801246689 1744458745743 4070403740067 12211211220201