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12012212102000 = 2453112383229127
BaseRepresentation
bin1010111011001100111110…
…1000101010001101110000
31120112100121201022011101112
42232303033220222031300
53033302002244231000
641314200053452452
72346565546116305
oct256631750521560
946470551264345
1012012212102000
113911394634890
121420069641128
13691992787c46
142d757384d0ac
1515c6ea0db235
hexaeccfa2a370

12012212102000 has 160 divisors (see below), whose sum is σ = 31699466532864. Its totient is φ = 4366225056000.

The previous prime is 12012212101991. The next prime is 12012212102017. The reversal of 12012212102000 is 20121221021.

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 31 ways as a sum of consecutive naturals, for example, 52311437 + ... + 52540563.

Almost surely, 212012212102000 is an apocalyptic number.

12012212102000 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 12012212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849733266432).

12012212102000 is an abundant number, since it is smaller than the sum of its proper divisors (19687254430864).

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

12012212102000 is a wasteful number, since it uses less digits than its factorization.

12012212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231544 (or 231528 counting only the distinct ones).

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

Adding to 12012212102000 its reverse (20121221021), we get a palindrome (12032333323021).

The spelling of 12012212102000 in words is "twelve trillion, twelve billion, two hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2383 2750 4400 4766 5500 9532 11000 11915 19064 22000 23830 26213 38128 47660 52426 59575 95320 104852 119150 131065 190640 209704 229127 238300 262130 297875 419408 458254 476600 524260 595750 655325 916508 953200 1048520 1145635 1191500 1310650 1833016 2097040 2291270 2383000 2520397 2621300 3276625 3666032 4582540 4766000 5040794 5242600 5728175 6553250 9165080 10081588 10485200 11456350 12601985 13106500 18330160 20163176 22912700 25203970 26213000 28640875 40326352 45825400 50407940 52426000 57281750 63009925 91650800 100815880 114563500 126019850 201631760 229127000 252039700 315049625 458254000 504079400 546009641 630099250 1008158800 1092019282 1260198500 2184038564 2520397000 2730048205 4368077128 5040794000 5460096410 6006106051 8736154256 10920192820 12012212102 13650241025 21840385640 24024424204 27300482050 30030530255 43680771280 48048848408 54600964100 60061060510 68251205125 96097696816 109201928200 120122121020 136502410250 150152651275 218403856400 240244242040 273004820500 300305302550 480488484080 546009641000 600610605100 750763256375 1092019282000 1201221210200 1501526512750 2402442420400 3003053025500 6006106051000 12012212102000