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12121222110200 = 2352721301950699
BaseRepresentation
bin1011000001100011000100…
…1000110101101111111000
31120220202222210212100022122
42300120301020311233320
53042043230330011300
641440225040340412
72360505116651300
oct260306110655770
946822883770278
1012121222110200
113953643977455
121439210914708
1369c045b40188
142dc95536c600
1516047a32cc85
hexb0631235bf8

12121222110200 has 144 divisors (see below), whose sum is σ = 32808191157000. Its totient is φ = 4152648864000.

The previous prime is 12121222110181. The next prime is 12121222110203. The reversal of 12121222110200 is 201122212121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121222110203) 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, 12274451 + ... + 13225149.

Almost surely, 212121222110200 is an apocalyptic number.

12121222110200 is a gapful number since it is divisible by the number (10) 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 12121222110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404095578500).

12121222110200 is an abundant number, since it is smaller than the sum of its proper divisors (20686969046800).

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

12121222110200 is a wasteful number, since it uses less digits than its factorization.

12121222110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952030 (or 952014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12121222110200 its reverse (201122212121), we get a palindrome (12322344322321).

The spelling of 12121222110200 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1301 1400 1960 2450 2602 4900 5204 6505 9107 9800 10408 13010 18214 26020 32525 36428 45535 52040 63749 65050 72856 91070 127498 130100 182140 227675 254996 260200 318745 364280 455350 509992 637490 910700 950699 1274980 1593725 1821400 1901398 2549960 3187450 3802796 4753495 6374900 6654893 7605592 9506990 12749800 13309786 19013980 23767475 26619572 33274465 38027960 46584251 47534950 53239144 66548930 93168502 95069900 133097860 166372325 186337004 190139800 232921255 266195720 332744650 372674008 465842510 665489300 931685020 1164606275 1236859399 1330978600 1863370040 2329212550 2473718798 4658425100 4947437596 6184296995 8658015793 9316850200 9894875192 12368593990 17316031586 24737187980 30921484975 34632063172 43290078965 49474375960 60606110551 61842969950 69264126344 86580157930 121212221102 123685939900 173160315860 216450394825 242424442204 247371879800 303030552755 346320631720 432900789650 484848884408 606061105510 865801579300 1212122211020 1515152763775 1731603158600 2424244422040 3030305527550 6060611055100 12121222110200