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12002110120020 = 22353312687224911
BaseRepresentation
bin1010111010100111010110…
…0000101010000001010100
31120111101112200122022021210
42232221311200222001110
53033120310142320040
641305405425141420
72346060322515636
oct256516540520124
946441480568253
1012002110120020
1139080802a5249
12141a10a48a870
13690a42911b07
142d6c95d40a56
1515c3082d6480
hexaea7582a054

12002110120020 has 96 divisors (see below), whose sum is σ = 33720131321856. Its totient is φ = 3189691612800.

The previous prime is 12002110119991. The next prime is 12002110120051. The reversal of 12002110120020 is 2002101120021.

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 = 12002110119978 and 12002110120005.

It is a congruent number.

It is an unprimeable number.

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, 53251365 + ... + 53476275.

It is an arithmetic number, because the mean of its divisors is an integer number (351251367936).

Almost surely, 212002110120020 is an apocalyptic number.

12002110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002110120020 is an abundant number, since it is smaller than the sum of its proper divisors (21718021201836).

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

12002110120020 is a wasteful number, since it uses less digits than its factorization.

12002110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227941 (or 227939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002110120020 its reverse (2002101120021), we get a palindrome (14004211240041).

The spelling of 12002110120020 in words is "twelve trillion, two billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 2687 3310 3972 4965 5374 6620 8061 9930 10748 13435 16122 19860 26870 32244 40305 53740 80610 161220 224911 449822 674733 889397 899644 1124555 1349466 1778794 2249110 2668191 2698932 3373665 3557588 4446985 4498220 5336382 6747330 8893970 10672764 13340955 13494660 17787940 26681910 53363820 74445541 148891082 223336623 297782164 372227705 446673246 604335857 744455410 893346492 1116683115 1208671714 1488910820 1813007571 2233366230 2417343428 3021679285 3626015142 4466732460 6043358570 7252030284 9065037855 12086717140 18130075710 36260151420 200035168667 400070337334 600105506001 800140674668 1000175843335 1200211012002 2000351686670 2400422024004 3000527530005 4000703373340 6001055060010 12002110120020