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200211121211000 = 23532339172222321
BaseRepresentation
bin101101100001011101001000…
…110000101000011001111000
3222020212222220021102210112112
4231201131020300220121320
5202220224334012223000
61545451415213431452
760112530140101304
oct5541351060503170
9866788807383475
10200211121211000
1158880072480a19
121a55630b49b588
138793a9b664883
1437623acb28d04
151822e3da47235
hexb61748c28678

200211121211000 has 128 divisors (see below), whose sum is σ = 488988354591360. Its totient is φ = 76582925056000.

The previous prime is 200211121210979. The next prime is 200211121211093. The reversal of 200211121211000 is 112121112002.

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, 88979840 + ... + 91202160.

It is an arithmetic number, because the mean of its divisors is an integer number (3820221520245).

Almost surely, 2200211121211000 is an apocalyptic number.

200211121211000 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 200211121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244494177295680).

200211121211000 is an abundant number, since it is smaller than the sum of its proper divisors (288777233380360).

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

200211121211000 is a wasteful number, since it uses less digits than its factorization.

200211121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226282 (or 2226268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200211121211000 its reverse (112121112002), we get a palindrome (200323242323002).

The spelling of 200211121211000 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 3917 4600 5750 7834 11500 15668 19585 23000 31336 39170 78340 90091 97925 156680 180182 195850 360364 391700 450455 489625 720728 783400 900910 979250 1801820 1958500 2222321 2252275 3603640 3917000 4444642 4504550 8889284 9009100 11111605 11261375 17778568 18018200 22223210 22522750 44446420 45045500 51113383 55558025 88892840 90091000 102226766 111116050 204453532 222232100 255566915 277790125 408907064 444464200 511133830 555580250 1022267660 1111160500 1277834575 2044535320 2222321000 2555669150 5111338300 6389172875 8704831357 10222676600 12778345750 17409662714 25556691500 34819325428 43524156785 51113383000 69638650856 87048313570 174096627140 200211121211 217620783925 348193254280 400422242422 435241567850 800844484844 870483135700 1001055606055 1088103919625 1601688969688 1740966271400 2002111212110 2176207839250 4004222424220 4352415678500 5005278030275 8008444848440 8704831357000 10010556060550 20021112121100 25026390151375 40042224242200 50052780302750 100105560605500 200211121211000