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220212102201212 = 2211179557242320717
BaseRepresentation
bin110010000100100000100000…
…001000000111111101111100
31001212201001221000210202210002
4302010200200020013331330
5212330423341130414322
62100204013153533432
764245541115321042
oct6204404010077574
91055631830722702
10220212102201212
1164191478858470
12208466b7574278
1395b4bb1c5ac94
143c54473386392
151a6d34eaa6c92
hexc84820207f7c

220212102201212 has 96 divisors (see below), whose sum is σ = 423707775966720. Its totient is φ = 99312709502720.

The previous prime is 220212102201103. The next prime is 220212102201229. The reversal of 220212102201212 is 212102201212022.

It is a super-3 number, since 3×2202121022012123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10629525878 + ... + 10629546594.

It is an arithmetic number, because the mean of its divisors is an integer number (4413622666320).

Almost surely, 2220212102201212 is an apocalyptic number.

220212102201212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220212102201212 is a deficient number, since it is larger than the sum of its proper divisors (203495673765508).

220212102201212 is a wasteful number, since it uses less digits than its factorization.

220212102201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220212102201212 its reverse (212102201212022), we get a palindrome (432314303413234).

The spelling of 220212102201212 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 179 358 557 716 1114 1969 2228 2423 3938 4846 6127 7876 9692 12254 20717 24508 26653 41434 53306 82868 99703 106612 199406 227887 398812 433717 455774 867434 911548 1096733 1349611 1734868 2193466 2699222 3708343 4386932 4770887 5398444 7416686 9541774 11539369 14833372 14845721 19083548 23078738 29691442 40791773 46157476 50197291 59382884 81583546 100394582 126933059 163167092 200789164 241580369 253866118 483160738 507732236 552170201 966321476 1104340402 2065547051 2208680804 2657384059 4131094102 5314768118 8262188204 8985315089 10629536236 17970630178 22721017561 27959891087 35941260356 45442035122 55919782174 90884070244 98838465979 111839564348 197676931958 307558801957 395353863916 615117603914 1230235207828 5004820504573 10009641009146 20019282018292 55053025550303 110106051100606 220212102201212