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20021011212120 = 23354724114729563
BaseRepresentation
bin1001000110101100000010…
…10000101110011101011000
32121212222201200202200011020
410203112001100232131120
510111011012332241440
6110325305305202440
74134320215255032
oct443260120563530
977788650680136
1020021011212120
116419954978756
1222b4258190420
13b22c86323029
144d304496cc52
1524abd479a3d0
hex12358142e758

20021011212120 has 128 divisors (see below), whose sum is σ = 61595501552640. Its totient is φ = 5203659663360.

The previous prime is 20021011212109. The next prime is 20021011212127. The reversal of 20021011212120 is 2121211012002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20021011212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021011212127) 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, 6005542 + ... + 8724021.

It is an arithmetic number, because the mean of its divisors is an integer number (481214855880).

Almost surely, 220021011212120 is an apocalyptic number.

20021011212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021011212120 is an abundant number, since it is smaller than the sum of its proper divisors (41574490340520).

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

20021011212120 is a wasteful number, since it uses less digits than its factorization.

20021011212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729865 (or 14729861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20021011212120 its reverse (2121211012002), we get a palindrome (22142222224122).

The spelling of 20021011212120 in words is "twenty trillion, twenty-one billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 241 282 376 470 482 564 705 723 940 964 1128 1205 1410 1446 1880 1928 2410 2820 2892 3615 4820 5640 5784 7230 9640 11327 14460 22654 28920 33981 45308 56635 67962 90616 113270 135924 169905 226540 271848 339810 453080 679620 1359240 14729563 29459126 44188689 58918252 73647815 88377378 117836504 147295630 176754756 220943445 294591260 353509512 441886890 589182520 692289461 883773780 1384578922 1767547560 2076868383 2769157844 3461447305 3549824683 4153736766 5538315688 6922894610 7099649366 8307473532 10384341915 10649474049 13845789220 14199298732 16614947064 17749123415 20768683830 21298948098 27691578440 28398597464 35498246830 41537367660 42597896196 53247370245 70996493660 83074735320 85195792392 106494740490 141992987320 166841760101 212989480980 333683520202 425978961960 500525280303 667367040404 834208800505 1001050560606 1334734080808 1668417601010 2002101121212 2502626401515 3336835202020 4004202242424 5005252803030 6673670404040 10010505606060 20021011212120