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20121020210120 = 23513923932574649
BaseRepresentation
bin1001001001100110010100…
…10000110001101111001000
32122020112212111100011100012
410210303022100301233020
510114130322133210440
6110443245153131052
74144460431600544
oct444631220615710
978215774304305
1020121020210120
11645830539a115
12230b708b59a88
13b2c53396321b
144d7c10c92a24
1524d5d96b0e65
hex124cca431bc8

20121020210120 has 128 divisors (see below), whose sum is σ = 45812692800000. Its totient is φ = 7952918679552.

The previous prime is 20121020210041. The next prime is 20121020210143. The reversal of 20121020210120 is 2101202012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121020210095 and 20121020210104.

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, 4328029556 + ... + 4328034204.

It is an arithmetic number, because the mean of its divisors is an integer number (357911662500).

Almost surely, 220121020210120 is an apocalyptic number.

20121020210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121020210120 is an abundant number, since it is smaller than the sum of its proper divisors (25691672589880).

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

20121020210120 is a wasteful number, since it uses less digits than its factorization.

20121020210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121020210120 its reverse (2101202012102), we get a palindrome (22222222222222).

The spelling of 20121020210120 in words is "twenty trillion, one hundred twenty-one billion, twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 239 278 478 556 695 956 1112 1195 1390 1912 2390 2780 3257 4649 4780 5560 6514 9298 9560 13028 16285 18596 23245 26056 32570 33221 37192 46490 65140 66442 92980 130280 132884 166105 185960 265768 332210 452723 646211 664420 778423 905446 1111111 1292422 1328840 1556846 1810892 2222222 2263615 2584844 3113692 3231055 3621784 3892115 4444444 4527230 5169688 5555555 6227384 6462110 7784230 8888888 9054460 11111110 12924220 15141793 15568460 18108920 22222220 25848440 30283586 31136920 44444440 60567172 75708965 108200797 121134344 151417930 154444429 216401594 302835860 308888858 432803188 541003985 605671720 617777716 772222145 865606376 1082007970 1235555432 1544444290 2104709227 2164015940 3088888580 3618888527 4209418454 4328031880 6177777160 7237777054 8418836908 10523546135 14475554108 16837673816 18094442635 21047092270 28951108216 36188885270 42094184540 72377770540 84188369080 144755541080 503025505253 1006051010506 2012102021012 2515127526265 4024204042024 5030255052530 10060510105060 20121020210120