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122101111022004 = 2232171955901187843
BaseRepresentation
bin11011110000110011100001…
…010110010110000110110100
3121000022202022100211222211100
4123300303201112112012310
5112001001033410201004
61111404250454010100
734501341233201022
oct3360634126260664
9530282270758740
10122101111022004
11359a58770033a4
121184001b046930
13531911571023a
142221a2234b712
15e1b1e417e739
hex6f0ce15961b4

122101111022004 has 144 divisors (see below), whose sum is σ = 344008019234880. Its totient is φ = 36289271116800.

The previous prime is 122101111022003. The next prime is 122101111022027. The reversal of 122101111022004 is 400220111101221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101111022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649922907 + ... + 650110749.

It is an arithmetic number, because the mean of its divisors is an integer number (2388944578020).

Almost surely, 2122101111022004 is an apocalyptic number.

It is an amenable number.

122101111022004 is an abundant number, since it is smaller than the sum of its proper divisors (221906908212876).

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

122101111022004 is a wasteful number, since it uses less digits than its factorization.

122101111022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243790 (or 243785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101111022004 its reverse (400220111101221), we get a palindrome (522321222123225).

The spelling of 122101111022004 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 55901 111802 167703 187843 223604 335406 375686 503109 563529 670812 751372 950317 1006218 1062119 1127058 1690587 1900634 2012436 2124238 2254116 2850951 3186357 3193331 3381174 3569017 3801268 4248476 5701902 6372714 6386662 6762348 7138034 8552853 9559071 9579993 10707051 11403804 12745428 12773324 14276068 17105706 18056023 19118142 19159986 21414102 28739979 32121153 34211412 36112046 38236284 38319972 42828204 54168069 57479958 60673289 64242306 72224092 108336138 114959916 121346578 128484612 162504207 182019867 216672276 242693156 325008414 364039734 546059601 650016828 728079468 1092119202 2184238404 10500611543 21001223086 31501834629 42002446172 63003669258 94505503887 126007338516 178510396231 189011007774 199511619317 357020792462 378022015548 399023238634 535531188693 598534857951 714041584924 798046477268 1071062377386 1197069715902 1606593566079 1795604573853 2142124754772 2394139431804 3213187132158 3391697528389 3591209147706 6426374264316 6783395056778 7182418295412 10175092585167 13566790113556 20350185170334 30525277755501 40700370340668 61050555511002 122101111022004