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211212120102122 = 223411012714091537
BaseRepresentation
bin110000000001100010100111…
…011001000001010011101010
31000200211200101210200101212102
4300001202213121001103222
5210140444410221231442
62025113301455013402
762326400142566636
oct6001424731012352
91020750353611772
10211212120102122
1161331614566587
121b8323a780a262
1390b12a99c8159
143a22a14bdddc6
1519641a2c64232
hexc018a76414ea

211212120102122 has 64 divisors (see below), whose sum is σ = 343271265942528. Its totient is φ = 97214895360000.

The previous prime is 211212120102121. The next prime is 211212120102127. The reversal of 211212120102122 is 221201021212112.

It is a super-2 number, since 2×2112121201021222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212120102094 and 211212120102103.

It is not an unprimeable number, because it can be changed into a prime (211212120102121) 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 31 ways as a sum of consecutive naturals, for example, 49575938 + ... + 53667474.

It is an arithmetic number, because the mean of its divisors is an integer number (5363613530352).

Almost surely, 2211212120102122 is an apocalyptic number.

211212120102122 is a deficient number, since it is larger than the sum of its proper divisors (132059145840406).

211212120102122 is a wasteful number, since it uses less digits than its factorization.

211212120102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091975.

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

Adding to 211212120102122 its reverse (221201021212112), we get a palindrome (432413141314234).

The spelling of 211212120102122 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 23 41 46 82 101 202 271 542 943 1886 2323 4141 4646 6233 8282 11111 12466 22222 27371 54742 95243 190486 255553 511106 629533 1122211 1259066 2244422 4091537 8183074 25810853 51621706 94105351 167753017 188210702 335506034 413245237 826490474 1108806527 2217613054 3858319391 7716638782 9504640451 16943054717 19009280902 25502550121 33886109434 45461067607 51005100242 90922135214 111989459227 223978918454 389690258491 779380516982 1045604554961 2091209109922 2575757562221 4591567828307 5151515124442 9183135656614 105606060051061 211212120102122