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200211201200120 = 2351117145571838717
BaseRepresentation
bin101101100001011101001101…
…100001110000111111111000
3222020220000002211221122222112
4231201131031201300333320
5202220230020001400440
61545451431152111452
760112532131020605
oct5541351541607770
9866800084848875
10200211201200120
1158880103644a30
121a556332235588
138793ab20c0006
1437623b95cb6ac
151822e45a97965
hexb6174d870ff8

200211201200120 has 128 divisors (see below), whose sum is σ = 520371021159360. Its totient is φ = 68516736245760.

The previous prime is 200211201200051. The next prime is 200211201200149. The reversal of 200211201200120 is 21002102112002.

It is a junction number, because it is equal to n+sod(n) for n = 200211201200095 and 200211201200104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107967002 + ... + 109805718.

Almost surely, 2200211201200120 is an apocalyptic number.

200211201200120 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 200211201200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260185510579680).

200211201200120 is an abundant number, since it is smaller than the sum of its proper divisors (320159819959240).

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

200211201200120 is a wasteful number, since it uses less digits than its factorization.

200211201200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853313 (or 1853309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200211201200120 its reverse (21002102112002), we get a palindrome (221213303312122).

The spelling of 200211201200120 in words is "two hundred trillion, two hundred eleven billion, two hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 14557 29114 58228 72785 116456 145570 160127 247469 291140 320254 494938 582280 640508 800635 989876 1237345 1281016 1601270 1838717 1979752 2474690 2722159 3202540 3677434 4949380 5444318 6405080 7354868 9193585 9898760 10888636 13610795 14709736 18387170 20225887 21777272 27221590 31258189 36774340 40451774 54443180 62516378 73548680 80903548 101129435 108886360 125032756 156290945 161807096 202258870 250065512 312581890 343840079 404517740 625163780 687680158 809035480 1250327560 1375360316 1719200395 2750720632 3438400790 6876801580 13753603160 26766203369 53532406738 107064813476 133831016845 214129626952 267662033690 294428237059 455025457273 535324067380 588856474118 910050914546 1070648134760 1177712948236 1472141185295 1820101829092 2275127286365 2355425896472 2944282370590 3640203658184 4550254572730 5005280030003 5888564741180 9100509145460 10010560060006 11777129482360 18201018290920 20021120120012 25026400150015 40042240240024 50052800300030 100105600600060 200211201200120