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220100120101212 = 2231315111251830477
BaseRepresentation
bin110010000010111000001101…
…011110010100000101011100
31001212022100212210201200100220
4302002320031132110011130
5212322110021221214322
62100040333240521340
764234465105220301
oct6202701536240534
91055270783650326
10220100120101212
1164148a3388728a
1220828a64a80250
1395a7476c13350
143c4cc8cc470a8
151a6a49898555c
hexc82e0d79415c

220100120101212 has 96 divisors (see below), whose sum is σ = 556784979362304. Its totient is φ = 67268556000000.

The previous prime is 220100120101193. The next prime is 220100120101247. The reversal of 220100120101212 is 212101021001022.

It is a super-2 number, since 2×2201001201012122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220100120101191 and 220100120101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264613318 + ... + 265443794.

It is an arithmetic number, because the mean of its divisors is an integer number (5799843535024).

Almost surely, 2220100120101212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220100120101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278392489681152).

220100120101212 is an abundant number, since it is smaller than the sum of its proper divisors (336684859261092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220100120101212 is a wasteful number, since it uses less digits than its factorization.

220100120101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841899 (or 841897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220100120101212 its reverse (212101021001022), we get a palindrome (432201141102234).

The spelling of 220100120101212 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 11251 11778 22502 23556 33753 45004 67506 135012 146263 292526 438789 585052 830477 877578 1660954 1698901 1755156 2491431 3321908 3397802 4982862 5096703 6795604 9965724 10193406 10796201 20386812 21592402 22085713 32388603 43184804 44171426 64777206 66257139 88342852 125402027 129554412 132514278 250804054 265028556 376206081 501608108 752412162 1504824324 1630226351 3260452702 4890679053 6520905404 9343696727 9781358106 18687393454 19562716212 28031090181 37374786908 56062180362 112124360724 121468057451 242936114902 364404172353 485872229804 728808344706 1410898205777 1457616689412 2821796411554 4232694617331 5643592823108 8465389234662 16930778469324 18341676675101 36683353350202 55025030025303 73366706700404 110050060050606 220100120101212