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120110121132100 = 2252112919918920641
BaseRepresentation
bin11011010011110101010001…
…000110101010000001000100
3120202021102012212010011022121
4123103311101012222001010
5111220341012002211400
61103241454454535324
734204445525312341
oct3323652106520104
9522242185104277
10120110121132100
11352a84641296a0
121157a190667544
135203449a58b78
14219350a3857c8
15dd45171c921a
hex6d3d511aa044

120110121132100 has 144 divisors (see below), whose sum is σ = 295616110608000. Its totient is φ = 41958411264000.

The previous prime is 120110121132077. The next prime is 120110121132119. The reversal of 120110121132100 is 1231121011021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3112221 + ... + 15808420.

It is an arithmetic number, because the mean of its divisors is an integer number (2052889657000).

Almost surely, 2120110121132100 is an apocalyptic number.

120110121132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120110121132100 is an abundant number, since it is smaller than the sum of its proper divisors (175505989475900).

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

120110121132100 is a wasteful number, since it uses less digits than its factorization.

120110121132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920894 (or 18920887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 120110121132100 its reverse (1231121011021), we get a palindrome (121341242143121).

The spelling of 120110121132100 in words is "one hundred twenty trillion, one hundred ten billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 199 220 275 290 319 398 550 580 638 725 796 995 1100 1276 1450 1595 1990 2189 2900 3190 3980 4378 4975 5771 6380 7975 8756 9950 10945 11542 15950 19900 21890 23084 28855 31900 43780 54725 57710 63481 109450 115420 126962 144275 218900 253924 288550 317405 577100 634810 1269620 1587025 3174050 6348100 18920641 37841282 75682564 94603205 189206410 208127051 378412820 416254102 473016025 548698589 832508204 946032050 1040635255 1097397178 1892064100 2081270510 2194794356 2743492945 3765207559 4162541020 5203176275 5486985890 6035684479 7530415118 10406352550 10973971780 12071368958 13717464725 15060830236 18826037795 20812705100 24142737916 27434929450 30178422395 37652075590 41417283149 54869858900 60356844790 75304151180 82834566298 94130188975 109191019211 120713689580 150892111975 165669132596 188260377950 207086415745 218382038422 301784223950 376520755900 414172831490 436764076844 545955096055 603568447900 828345662980 1035432078725 1091910192110 1201101211321 2070864157450 2183820384220 2402202422642 2729775480275 4141728314900 4804404845284 5459550960550 6005506056605 10919101921100 12011012113210 24022024226420 30027530283025 60055060566050 120110121132100