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12012121121312 = 2513431049640151
BaseRepresentation
bin1010111011001100101000…
…1101100110001000100000
31120112100101101002212100102
42232303022031212020200
53033301311001340222
641314143043441532
72346563362600424
oct256631215461040
946470341085312
1012012121121312
113911348243734
1214200430862a8
13691979981810
142d7565728b84
1515c6e2118d92
hexaecca366220

12012121121312 has 96 divisors (see below), whose sum is σ = 26085169756800. Its totient is φ = 5409953740800.

The previous prime is 12012121121293. The next prime is 12012121121339. The reversal of 12012121121312 is 21312112121021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18444437 + ... + 19084587.

It is an arithmetic number, because the mean of its divisors is an integer number (271720518300).

Almost surely, 212012121121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012121121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042584878400).

12012121121312 is an abundant number, since it is smaller than the sum of its proper divisors (14073048635488).

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

12012121121312 is a wasteful number, since it uses less digits than its factorization.

12012121121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641266 (or 641258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 12012121121312 its reverse (21312112121021), we get a palindrome (33324233242333).

The spelling of 12012121121312 in words is "twelve trillion, twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1049 1118 1376 2098 2236 4196 4472 8392 8944 13637 16784 17888 27274 33568 45107 54548 90214 109096 180428 218192 360856 436384 586391 640151 721712 1172782 1280302 1443424 2345564 2560604 4691128 5121208 8321963 9382256 10242416 16643926 18764512 20484832 27526493 33287852 55052986 66575704 110105972 133151408 220211944 266302816 357844409 440423888 671518399 715688818 880847776 1343036798 1431377636 2686073596 2862755272 5372147192 5725510544 8729739187 10744294384 11451021088 17459478374 21488588768 28875291157 34918956748 57750582314 69837913496 115501164628 139675826992 231002329256 279351653984 375378785041 462004658512 750757570082 924009317024 1501515140164 3003030280328 6006060560656 12012121121312