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12230130001212 = 223217229130366973
BaseRepresentation
bin1011000111111000110010…
…0011011110010100111100
31121022012002210021102210200
42301332030203132110330
53100334301240014322
642002235534403500
72401412010522444
oct261761443362474
947265083242720
1012230130001212
113995850601952
121456345960590
136a93b0cc0036
14303d274a9124
151632015ec8ac
hexb1f8c8de53c

12230130001212 has 144 divisors (see below), whose sum is σ = 32902247327040. Its totient is φ = 3817159686144.

The previous prime is 12230130001181. The next prime is 12230130001217. The reversal of 12230130001212 is 21210003103221.

12230130001212 is a `hidden beast` number, since 12 + 230 + 1 + 300 + 0 + 121 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230130001217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182579358 + ... + 182646330.

It is an arithmetic number, because the mean of its divisors is an integer number (228487828660).

Almost surely, 212230130001212 is an apocalyptic number.

12230130001212 is a gapful number since it is divisible by the number (12) 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 12230130001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451123663520).

12230130001212 is an abundant number, since it is smaller than the sum of its proper divisors (20672117325828).

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

12230130001212 is a wasteful number, since it uses less digits than its factorization.

12230130001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68532 (or 68527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12230130001212 its reverse (21210003103221), we get a palindrome (33440133104433).

The spelling of 12230130001212 in words is "twelve trillion, two hundred thirty billion, one hundred thirty million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 229 306 458 612 687 916 1303 1374 2061 2606 2748 3893 3909 4122 5212 7786 7818 8244 11679 11727 15572 15636 22151 23358 23454 35037 44302 46716 46908 66453 66973 70074 88604 132906 133946 140148 199359 200919 265812 267892 298387 398718 401838 596774 602757 797436 803676 895161 1138541 1193548 1205514 1790322 2277082 2411028 2685483 3415623 3580644 4554164 5072579 5370966 6831246 10145158 10246869 10741932 13662492 15217737 15336817 20290316 20493738 30435474 30673634 40987476 45653211 46010451 60870948 61347268 87265819 91306422 92020902 138031353 174531638 182612844 184041804 260725889 261797457 276062706 349063276 521451778 523594914 552125412 782177667 785392371 1042903556 1047189828 1483518923 1564355334 1570784742 2346533001 2967037846 3128710668 3141569484 4450556769 4693066002 5934075692 8901113538 9386132004 13351670307 17802227076 19983872551 26703340614 39967745102 53406681228 59951617653 79935490204 119903235306 179854852959 239806470612 339725833367 359709705918 679451666734 719419411836 1019177500101 1358903333468 2038355000202 3057532500303 4076710000404 6115065000606 12230130001212