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120010121000 = 23537111558573
BaseRepresentation
bin110111111000100101…
…0010001111100101000
3102110202201012210220022
41233301022101330220
53431240042333000
6131044253220012
711445651124460
oct1576112217450
9373681183808
10120010121000
1146994648190
121b313191608
13b41731c023
145b4681cba0
1531c5d04585
hex1bf1291f28

120010121000 has 128 divisors (see below), whose sum is σ = 350118063360. Its totient is φ = 37405728000.

The previous prime is 120010120949. The next prime is 120010121003. The reversal of 120010121000 is 121010021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (120010121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702287 + ... + 856286.

It is an arithmetic number, because the mean of its divisors is an integer number (2735297370).

Almost surely, 2120010121000 is an apocalyptic number.

120010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010121000 is an abundant number, since it is smaller than the sum of its proper divisors (230107942360).

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

120010121000 is a wasteful number, since it uses less digits than its factorization.

120010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558612 (or 1558598 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120010121000 its reverse (121010021), we get a palindrome (120131131021).

The spelling of 120010121000 in words is "one hundred twenty billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 1558573 3117146 6234292 7792865 10910011 12468584 15585730 17144303 21820022 31171460 34288606 38964325 43640044 54550055 62342920 68577212 77928650 85721515 87280088 109100110 120010121 137154424 155857300 171443030 194821625 218200220 240020242 272750275 311714600 342886060 389643250 428607575 436400440 480040484 545500550 600050605 685772120 779286500 857215150 960080968 1091001100 1200101210 1363751375 1558573000 1714430300 2143037875 2182002200 2400202420 2727502750 3000253025 3428860600 4286075750 4800404840 5455005500 6000506050 8572151500 10910011000 12001012100 15001265125 17144303000 24002024200 30002530250 60005060500 120010121000