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12202212002000 = 245331281700391
BaseRepresentation
bin1011000110010000110010…
…0000110000100011010000
31121012112001010122010120212
42301210030200300203100
53044410112233031000
641541341355023252
72366403121453646
oct261441440604320
947175033563525
1012202212002000
113984a24622929
121450a5413ab28
136a6882083287
14302839783196
1516261a682c35
hexb190c8308d0

12202212002000 has 160 divisors (see below), whose sum is σ = 30565151705088. Its totient is φ = 4706620800000.

The previous prime is 12202212001897. The next prime is 12202212002003. The reversal of 12202212002000 is 20021220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202212002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17071805 + ... + 17772195.

Almost surely, 212202212002000 is an apocalyptic number.

12202212002000 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 12202212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282575852544).

12202212002000 is an abundant number, since it is smaller than the sum of its proper divisors (18362939703088).

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

12202212002000 is a wasteful number, since it uses less digits than its factorization.

12202212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700726 (or 700710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12202212002000 its reverse (20021220221), we get a palindrome (12222233222221).

The spelling of 12202212002000 in words is "twelve trillion, two hundred two billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 281 310 400 496 500 562 620 775 1000 1124 1240 1405 1550 2000 2248 2480 2810 3100 3875 4496 5620 6200 7025 7750 8711 11240 12400 14050 15500 17422 22480 28100 31000 34844 35125 43555 56200 62000 69688 70250 87110 112400 139376 140500 174220 217775 281000 348440 435550 562000 696880 700391 871100 1088875 1400782 1742200 2177750 2801564 3484400 3501955 4355500 5603128 7003910 8711000 11206256 14007820 17422000 17509775 21712121 28015640 35019550 43424242 56031280 70039100 86848484 87548875 108560605 140078200 173696968 175097750 196809871 217121210 280156400 347393936 350195500 393619742 434242420 542803025 700391000 787239484 868484840 984049355 1085606050 1400782000 1574478968 1736969680 1968098710 2171212100 2714015125 3148957936 3936197420 4342424200 4920246775 5428030250 6101106001 7872394840 8684848400 9840493550 10856060500 12202212002 15744789680 19680987100 21712121000 24404424004 24601233875 30505530005 39361974200 43424242000 48808848008 49202467750 61011060010 78723948400 97617696016 98404935500 122022120020 152527650025 196809871000 244044240040 305055300050 393619742000 488088480080 610110600100 762638250125 1220221200200 1525276500250 2440442400400 3050553000500 6101106001000 12202212002000