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212122111220201 = 71341672233805231
BaseRepresentation
bin110000001110110010000111…
…000101101001100111101001
31000211001200020122111212112002
4300032302013011221213221
5210300402040433021301
62031051315210500345
762452213442510420
oct6016620705514751
91024050218455462
10212122111220201
1161652533854256
121b95a829a346b5
13914904c381a40
143a54a9d0b62b7
15197cbb249716b
hexc0ec871699e9

212122111220201 has 64 divisors (see below), whose sum is σ = 272649926148096. Its totient is φ = 160572182284800.

The previous prime is 212122111220191. The next prime is 212122111220219. The reversal of 212122111220201 is 102022111221212.

It is not a de Polignac number, because 212122111220201 - 214 = 212122111203817 is a prime.

It is a super-2 number, since 2×2121221112202012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122111220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53842256 + ... + 57647486.

It is an arithmetic number, because the mean of its divisors is an integer number (4260155096064).

Almost surely, 2212122111220201 is an apocalyptic number.

It is an amenable number.

212122111220201 is a deficient number, since it is larger than the sum of its proper divisors (60527814927895).

212122111220201 is a wasteful number, since it uses less digits than its factorization.

212122111220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805582.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212122111220201 its reverse (102022111221212), we get a palindrome (314144222441413).

The spelling of 212122111220201 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 13 41 67 91 223 287 469 533 871 1561 2747 2899 3731 6097 9143 14941 19229 20293 35711 64001 104587 118859 194233 249977 612581 832013 1359631 3805231 4288067 7963553 26636617 49468003 55744871 156014471 254950477 346276021 848566513 1092101297 1784653339 2028188123 3314356201 5939965591 10452969557 11031364669 14197316861 23200493407 34791227033 56853956371 73170786899 77219552683 135888604241 243538589231 397977694597 452285951429 739101432823 951220229687 2331012211211 3166001660003 5173710029761 16317085478477 30303158745743 212122111220201