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212210000101200 = 243521571126380043
BaseRepresentation
bin110000010000000011111101…
…101011000111111101010000
31000211101002002202221121210210
4300100003331223013331100
5210303322040011214300
62031155532254324120
762461444425620163
oct6020037553077520
91024332082847723
10212210000101200
11616868348323a2
121b9738777b9640
1391544179c217a
143a59039871ada
151980108312050
hexc100fdac7f50

212210000101200 has 120 divisors (see below), whose sum is σ = 684109172483488. Its totient is φ = 56228891696640.

The previous prime is 212210000101199. The next prime is 212210000101241. The reversal of 212210000101200 is 2101000012212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563001622 + ... + 563378421.

Almost surely, 2212210000101200 is an apocalyptic number.

212210000101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210000101200 is an abundant number, since it is smaller than the sum of its proper divisors (471899172382288).

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

212210000101200 is a wasteful number, since it uses less digits than its factorization.

212210000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126380221 (or 1126380210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212210000101200 its reverse (2101000012212), we get a palindrome (214311000113412).

The spelling of 212210000101200 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 157 200 240 300 314 400 471 600 628 785 942 1200 1256 1570 1884 2355 2512 3140 3768 3925 4710 6280 7536 7850 9420 11775 12560 15700 18840 23550 31400 37680 47100 62800 94200 188400 1126380043 2252760086 3379140129 4505520172 5631900215 6758280258 9011040344 11263800430 13516560516 16895700645 18022080688 22527600860 27033121032 28159501075 33791401290 45055201720 54066242064 56319002150 67582802580 84478503225 90110403440 112638004300 135165605160 168957006450 176841666751 225276008600 270331210320 337914012900 353683333502 450552017200 530525000253 675828025800 707366667004 884208333755 1061050000506 1351656051600 1414733334008 1768416667510 2122100001012 2652625001265 2829466668016 3536833335020 4244200002024 4421041668775 5305250002530 7073666670040 8488400004048 8842083337550 10610500005060 13263125006325 14147333340080 17684166675100 21221000010120 26526250012650 35368333350200 42442000020240 53052500025300 70736666700400 106105000050600 212210000101200