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121101200100120 = 23354130313811997
BaseRepresentation
bin11011100010010000010010…
…000000111000101100011000
3120212210011100212001012112210
4123202100102000320230120
5111333110224211200440
61105321042344435120
734336162426454652
oct3342202200705430
9525704325035483
10121101200100120
113564a80439a189
12116ba282a78aa0
135275a42a32b56
1421c9487a916d2
15e001c0661a80
hex6e2412038b18

121101200100120 has 128 divisors (see below), whose sum is σ = 372177399464640. Its totient is φ = 31504925122560.

The previous prime is 121101200100031. The next prime is 121101200100149. The reversal of 121101200100120 is 21001002101121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121101200100096 and 121101200100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148733962 + ... + 149545958.

Almost surely, 2121101200100120 is an apocalyptic number.

121101200100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101200100120 is an abundant number, since it is smaller than the sum of its proper divisors (251076199364520).

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

121101200100120 is a wasteful number, since it uses less digits than its factorization.

121101200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842365 (or 842361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121101200100120 its reverse (21001002101121), we get a palindrome (142102202201241).

The spelling of 121101200100120 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 30313 60626 90939 121252 151565 181878 242504 303130 363756 454695 606260 727512 811997 909390 1212520 1242833 1623994 1818780 2435991 2485666 3247988 3637560 3728499 4059985 4871982 4971332 6214165 6495976 7456998 8119970 9743964 9942664 12179955 12428330 14913996 16239940 18642495 19487928 24359910 24856660 29827992 32479880 33291877 37284990 48719820 49713320 66583754 74569980 97439640 99875631 133167508 149139960 166459385 199751262 266335016 332918770 399502524 499378155 665837540 799005048 998756310 1331675080 1997512620 3995025240 24614065061 49228130122 73842195183 98456260244 123070325305 147684390366 196912520488 246140650610 295368780732 369210975915 492281301220 590737561464 738421951830 984562602440 1009176667501 1476843903660 2018353335002 2953687807320 3027530002503 4036706670004 5045883337505 6055060005006 8073413340008 10091766675010 12110120010012 15137650012515 20183533350020 24220240020024 30275300025030 40367066700040 60550600050060 121101200100120