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211122012122220 = 223519999117842493
BaseRepresentation
bin110000000000001110101100…
…100010010110110001101100
31000200112001211000121202011110
4300000032230202112301230
5210133010340100402340
62025004040300152020
762320030162444113
oct6000165442266154
91020461730552143
10211122012122220
11612a73849a3601
121b818a3a838610
1390a59496ca154
143a1c507834c7a
151961b7c1a8680
hexc003ac896c6c

211122012122220 has 96 divisors (see below), whose sum is σ = 594711736012800. Its totient is φ = 55959764509440.

The previous prime is 211122012122183. The next prime is 211122012122261. The reversal of 211122012122220 is 22221210221112.

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, 2911294 + ... + 20753786.

It is an arithmetic number, because the mean of its divisors is an integer number (6194913916800).

Almost surely, 2211122012122220 is an apocalyptic number.

211122012122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122012122220 is an abundant number, since it is smaller than the sum of its proper divisors (383589723890580).

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

211122012122220 is a wasteful number, since it uses less digits than its factorization.

211122012122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843695 (or 17843693 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211122012122220 its reverse (22221210221112), we get a palindrome (233343222343332).

The spelling of 211122012122220 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 991 995 1194 1982 1990 2388 2973 2985 3964 3980 4955 5946 5970 9910 11892 11940 14865 19820 29730 59460 197209 394418 591627 788836 986045 1183254 1972090 2366508 2958135 3944180 5916270 11832540 17842493 35684986 53527479 71369972 89212465 107054958 178424930 214109916 267637395 356849860 535274790 1070549580 3550656107 7101312214 10651968321 14202624428 17681910563 17753280535 21303936642 35363821126 35506561070 42607873284 53045731689 53259841605 70727642252 71013122140 88409552815 106091463378 106519683210 176819105630 212182926756 213039366420 265228658445 353638211260 530457316890 1060914633780 3518700202037 7037400404074 10556100606111 14074800808148 17593501010185 21112201212222 35187002020370 42224402424444 52780503030555 70374004040740 105561006061110 211122012122220