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212122222001220 = 223531373082275821
BaseRepresentation
bin110000001110110010001101…
…101100001111110001000100
31000211001200112100222010111210
4300032302031230033301010
5210300402302313014340
62031051334205131420
762452216256234226
oct6016621554176104
91024050470863453
10212122222001220
1161652590339713
121b95a85ab59b70
1391490692cb73b
143a54aadab2416
15197cbbc07b180
hexc0ec8db0fc44

212122222001220 has 96 divisors (see below), whose sum is σ = 629671963124736. Its totient is φ = 53261726169600.

The previous prime is 212122222001213. The next prime is 212122222001227. The reversal of 212122222001220 is 22100222221212.

It is an interprime number because it is at equal distance from previous prime (212122222001213) and next prime (212122222001227).

It is not an unprimeable number, because it can be changed into a prime (212122222001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541069091 + ... + 1541206730.

It is an arithmetic number, because the mean of its divisors is an integer number (6559082949216).

Almost surely, 2212122222001220 is an apocalyptic number.

212122222001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122222001220 is an abundant number, since it is smaller than the sum of its proper divisors (417549741123516).

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

212122222001220 is a wasteful number, since it uses less digits than its factorization.

212122222001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082275901 (or 3082275899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212122222001220 its reverse (22100222221212), we get a palindrome (234222444222432).

The spelling of 212122222001220 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 17205 22940 34410 68820 3082275821 6164551642 9246827463 12329103284 15411379105 18493654926 30822758210 36987309852 46234137315 61645516420 92468274630 95550550451 114044205377 184936549260 191101100902 228088410754 286651651353 342132616131 382202201804 456176821508 477752752255 570221026885 573303302706 684265232262 955505504510 1140442053770 1146606605412 1368530464524 1433258256765 1710663080655 1911011009020 2280884107540 2866516513530 3421326161310 3535370366687 5733033027060 6842652322620 7070740733374 10606111100061 14141481466748 17676851833435 21212222200122 35353703666870 42424444400244 53030555500305 70707407333740 106061111000610 212122222001220