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12122102112022 = 2723375356933739
BaseRepresentation
bin1011000001100110010110…
…0101110001111100010110
31120220212021010202001212201
42300121211211301330112
53042102031120041042
641440452234035114
72360535663566260
oct260314545617426
946825233661781
1012122102112022
113953a5568a891
121439417578a9a
1369c156254206
142dc9da1a0b30
151604cc7091b7
hexb0665971f16

12122102112022 has 128 divisors (see below), whose sum is σ = 22731064473600. Its totient is φ = 4735299419136.

The previous prime is 12122102112007. The next prime is 12122102112047. The reversal of 12122102112022 is 22021120122121.

12122102112022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121221021120222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359273629 + ... + 359307367.

It is an arithmetic number, because the mean of its divisors is an integer number (177586441200).

Almost surely, 212122102112022 is an apocalyptic number.

12122102112022 is a deficient number, since it is larger than the sum of its proper divisors (10608962361578).

12122102112022 is a wasteful number, since it uses less digits than its factorization.

12122102112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34430.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12122102112022 its reverse (22021120122121), we get a palindrome (34143222234143).

The spelling of 12122102112022 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 7 14 23 37 46 53 74 106 161 259 322 371 518 569 742 851 1138 1219 1702 1961 2438 3922 3983 5957 7966 8533 11914 13087 13727 17066 21053 26174 27454 30157 33739 42106 45103 60314 67478 90206 91609 147371 183218 211099 236173 294742 315721 422198 472346 484219 631442 693611 775997 968438 1115809 1248343 1387222 1551994 1788167 2231618 2496686 3389533 3576334 4855277 5431979 6779066 7810663 8738401 9710554 10863958 12517169 15621326 17476802 19197491 25034338 25663607 28711889 38394982 41127841 51327214 57423778 66162179 82255682 132324358 134382437 179645249 200983223 268764874 287894887 359290498 401966446 441542293 463135253 575789774 710307167 883084586 926270506 1017467023 1420614334 1521730117 2034934046 3043460234 3090796051 4972150169 6181592102 7122269161 9944300338 10652110819 14244538322 16337064841 21304221638 23401741529 32674129682 37646279851 46803483058 75292559702 114359453887 163812190703 228718907774 263523958957 327624381406 527047917914 865864436573 1731728873146 6061051056011 12122102112022