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220121112220200 = 233252196436289831
BaseRepresentation
bin110010000011001011110000…
…101100111001001000101000
31001212101101001210002211000100
4302003023300230321020220
5212322431014212021300
62100054124250505400
764236140235252342
oct6203136054711050
91055341053084010
10220121112220200
1164156926336a54
1220830b43135260
1395a9440cc8c29
143c4dcc0bc8292
151a6acc6877700
hexc832f0b39228

220121112220200 has 144 divisors (see below), whose sum is σ = 778147440688800. Its totient is φ = 55609544131200.

The previous prime is 220121112220187. The next prime is 220121112220201. The reversal of 220121112220200 is 2022211121022.

It is a happy number.

220121112220200 is a `hidden beast` number, since 2 + 20 + 1 + 211 + 12 + 220 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (220121112220201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3218110716 + ... + 3218179115.

It is an arithmetic number, because the mean of its divisors is an integer number (5403801671450).

Almost surely, 2220121112220200 is an apocalyptic number.

220121112220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121112220200 is an abundant number, since it is smaller than the sum of its proper divisors (558026328468600).

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

220121112220200 is a wasteful number, since it uses less digits than its factorization.

220121112220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436289872 (or 6436289860 counting only the distinct ones).

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

Adding to 220121112220200 its reverse (2022211121022), we get a palindrome (222143323341222).

The spelling of 220121112220200 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 6436289831 12872579662 19308869493 25745159324 32181449155 38617738986 51490318648 57926608479 64362898310 77235477972 96544347465 115853216958 122289506789 128725796620 154470955944 160907245775 193088694930 231706433916 244579013578 257451593240 289633042395 321814491550 366868520367 386177389860 463412867832 482721737325 489158027156 579266084790 611447533945 643628983100 733737040734 772354779720 965443474650 978316054312 1100605561101 1158532169580 1222895067890 1287257966200 1448165211975 1467474081468 1834342601835 1930886949300 2201211122202 2317064339160 2445790135780 2896330423950 2934948162936 3057237669725 3668685203670 3861773898600 4402422244404 4891580271560 5503027805505 5792660847900 6114475339450 7337370407340 8804844488808 9171713009175 11006055611010 11585321695800 12228950678900 14674740814680 18343426018350 22012111222020 24457901357800 27515139027525 36686852036700 44024222444040 55030278055050 73373704073400 110060556110100 220121112220200