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21120121011220 = 225721119103115521
BaseRepresentation
bin1001100110101011010010…
…10011110111110000010100
32202210001201112202112211021
410303111221103313300110
510232013001434324340
6112530241042450524
74306610200355500
oct463255123676024
982701645675737
1021120121011220
116802aa178a620
122451279963a44
13ba2807855bba
1453030db0b300
152695b2007e4a
hex1335694f7c14

21120121011220 has 144 divisors (see below), whose sum is σ = 59246054320320. Its totient is φ = 6236426649600.

The previous prime is 21120121011083. The next prime is 21120121011221. The reversal of 21120121011220 is 2211012102112.

It is a junction number, because it is equal to n+sod(n) for n = 21120121011194 and 21120121011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120121011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51352941 + ... + 51762580.

It is an arithmetic number, because the mean of its divisors is an integer number (411430932780).

Almost surely, 221120121011220 is an apocalyptic number.

21120121011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120121011220 is an abundant number, since it is smaller than the sum of its proper divisors (38125933309100).

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

21120121011220 is a wasteful number, since it uses less digits than its factorization.

21120121011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103115574 (or 103115565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21120121011220 its reverse (2211012102112), we get a palindrome (23331133113332).

The spelling of 21120121011220 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 95 98 110 133 140 154 190 196 209 220 245 266 308 380 385 418 490 532 539 665 770 836 931 980 1045 1078 1330 1463 1540 1862 2090 2156 2660 2695 2926 3724 4180 4655 5390 5852 7315 9310 10241 10780 14630 18620 20482 29260 40964 51205 102410 204820 103115521 206231042 412462084 515577605 721808647 1031155210 1134270731 1443617294 1959194899 2062310420 2268541462 2887234588 3609043235 3918389798 4537082924 5052660529 5671353655 7218086470 7836779596 7939895117 9795974495 10105321058 11342707310 13714364293 14436172940 15879790234 19591948990 20210642116 21551143889 22685414620 25263302645 27428728586 31759580468 39183897980 39699475585 43102287778 50526605290 54857457172 55579265819 68571821465 79398951170 86204575556 96000550051 101053210580 107755719445 111158531638 137143642930 150858007223 158797902340 192001100102 215511438890 222317063276 274287285860 277896329095 301716014446 384002200204 431022877780 480002750255 555792658190 603432028892 754290036115 960005500510 1056006050561 1111585316380 1508580072230 1920011001020 2112012101122 3017160144460 4224024202244 5280030252805 10560060505610 21120121011220