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20011120121220 = 2235432667327031
BaseRepresentation
bin1001000110011001100111…
…01101001101010110000100
32121212001012100221012020020
410203030303231031112010
510110330233222334340
6110320552012535140
74133520132342234
oct443146355152604
977761170835206
1020011120121220
11641573968a768
1222b23577814b0
13b2206b078517
144d2787079cc4
1524a8062519d0
hex123333b4d584

20011120121220 has 144 divisors (see below), whose sum is σ = 57375208501632. Its totient is φ = 5211224847360.

The previous prime is 20011120121207. The next prime is 20011120121227. The reversal of 20011120121220 is 2212102111002.

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 20011120121220.

It is not an unprimeable number, because it can be changed into a prime (20011120121227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 740289105 + ... + 740316135.

It is an arithmetic number, because the mean of its divisors is an integer number (398438947928).

Almost surely, 220011120121220 is an apocalyptic number.

20011120121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687604250816).

20011120121220 is an abundant number, since it is smaller than the sum of its proper divisors (37364088380412).

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

20011120121220 is a wasteful number, since it uses less digits than its factorization.

20011120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802 (or 33757 counting only the distinct ones).

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

Adding to 20011120121220 its reverse (2212102111002), we get a palindrome (22223222232222).

The spelling of 20011120121220 in words is "twenty trillion, eleven billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1849 2580 3698 5547 6673 7396 9245 11094 13346 18490 20019 22188 26692 27031 27735 33365 36980 40038 54062 55470 66730 80076 81093 100095 108124 110940 133460 135155 162186 200190 270310 286939 324372 400380 405465 540620 573878 810930 860817 1147756 1162333 1434695 1621860 1721634 2324666 2869390 3443268 3486999 4304085 4649332 5738780 5811665 6973998 8608170 11623330 12338377 13947996 17216340 17434995 23246660 24676754 34869990 37015131 49353508 49980319 61691885 69739980 74030262 99960638 123383770 148060524 149940957 180377863 185075655 199921276 246767540 249901595 299881914 360755726 370151310 499803190 541133589 599763828 721511452 740302620 749704785 901889315 999606380 1082267178 1499409570 1803778630 2164534356 2705667945 2998819140 3607557260 5411335890 7756248109 10822671780 15512496218 23268744327 31024992436 38781240545 46537488654 77562481090 93074977308 116343721635 155124962180 232687443270 333518668687 465374886540 667037337374 1000556006061 1334074674748 1667593343435 2001112012122 3335186686870 4002224024244 5002780030305 6670373373740 10005560060610 20011120121220