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20121112022220 = 223251157117797159
BaseRepresentation
bin1001001001100110011111…
…01111000000110011001100
32122020120002220002200212100
410210303033233000303030
510114131014134202340
6110443302233035100
74144462625151366
oct444631757006314
978216086080770
1020121112022220
1164583521a8990
12230b733855a90
13b2c54999ac01
144d7c1d151d36
1524d5e2799830
hex124ccfbc0ccc

20121112022220 has 144 divisors (see below), whose sum is σ = 66699199607040. Its totient is φ = 4869302428800.

The previous prime is 20121112022197. The next prime is 20121112022273. The reversal of 20121112022220 is 2222021112102.

It is a happy number.

20121112022220 is a `hidden beast` number, since 201 + 211 + 12 + 0 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20121112022193 and 20121112022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768000 + ... + 10029159.

It is an arithmetic number, because the mean of its divisors is an integer number (463188886160).

Almost surely, 220121112022220 is an apocalyptic number.

20121112022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121112022220 is an abundant number, since it is smaller than the sum of its proper divisors (46578087584820).

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

20121112022220 is a wasteful number, since it uses less digits than its factorization.

20121112022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797756 (or 17797751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121112022220 its reverse (2222021112102), we get a palindrome (22343133134322).

The spelling of 20121112022220 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 571 660 990 1142 1713 1980 2284 2855 3426 5139 5710 6281 6852 8565 10278 11420 12562 17130 18843 20556 25124 25695 31405 34260 37686 51390 56529 62810 75372 94215 102780 113058 125620 188430 226116 282645 376860 565290 1130580 17797159 35594318 53391477 71188636 88985795 106782954 160174431 177971590 195768749 213565908 266957385 320348862 355943180 391537498 533914770 587306247 640697724 783074996 800872155 978843745 1067829540 1174612494 1601744310 1761918741 1957687490 2349224988 2936531235 3203488620 3523837482 3915374980 5873062470 7047674964 8809593705 10162177789 11746124940 17619187410 20324355578 30486533367 35238374820 40648711156 50810888945 60973066734 91459600101 101621777890 111783955679 121946133468 152432666835 182919200202 203243555780 223567911358 304865333670 335351867037 365838400404 447135822716 457298000505 558919778395 609730667340 670703734074 914596001010 1006055601111 1117839556790 1341407468148 1676759335185 1829192002020 2012111202222 2235679113580 3353518670370 4024222404444 5030278005555 6707037340740 10060556011110 20121112022220