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122120011230203 = 72232959316719997
BaseRepresentation
bin11011110001000101000111…
…111000111010101111111011
3121000101120002112221001100102
4123301011013320322233323
5112001303240333331303
61111421054135030015
734502610502256600
oct3361050770725773
9530346075831312
10122120011230203
1135a0289574a578
121184381480b30b
13531ab382aab9c
1422228d654a6a7
15e1b94d5a6288
hex6f1147e3abfb

122120011230203 has 96 divisors (see below), whose sum is σ = 156002062233600. Its totient is φ = 94997469025536.

The previous prime is 122120011230097. The next prime is 122120011230209. The reversal of 122120011230203 is 302032110021221.

It is not a de Polignac number, because 122120011230203 - 210 = 122120011229179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120011230209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6106906601 + ... + 6106926597.

It is an arithmetic number, because the mean of its divisors is an integer number (1625021481600).

Almost surely, 2122120011230203 is an apocalyptic number.

122120011230203 is a deficient number, since it is larger than the sum of its proper divisors (33882051003397).

122120011230203 is a wasteful number, since it uses less digits than its factorization.

122120011230203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23289 (or 23282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122120011230203 its reverse (302032110021221), we get a palindrome (424152121251424).

The spelling of 122120011230203 in words is "one hundred twenty-two trillion, one hundred twenty billion, eleven million, two hundred thirty thousand, two hundred three".

Divisors: 1 7 23 29 49 59 161 203 413 667 1127 1357 1421 1711 2891 3167 4669 9499 11977 19997 22169 32683 39353 66493 72841 83839 91843 139979 155183 186853 275471 459931 509887 579913 642901 979853 1179823 1307971 1928297 2112389 3219517 3569209 4059391 4297619 4500307 5418737 8258761 9155797 13337999 14786723 22536619 27135929 28415737 30083333 34214867 37931159 57811327 63330499 93365993 103507061 124630951 189951503 210583331 239504069 265518113 443313493 653561951 786941941 872416657 1329660521 1456601477 1676528483 1836584471 3103194451 3736499441 5508593587 6106916599 10196210339 12856091297 26155496087 38560155109 42241442833 71373472373 85939487143 89992639079 108358483789 183088472609 295690099831 601576410001 758509386523 2069830698817 2492245127147 4211034870007 5309565705661 17445715890029 122120011230203