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12001011000112 = 2417103877488441
BaseRepresentation
bin1010111010100011001111…
…1111110110001100110000
31120111021201002110020020001
42232220303333312030300
53033111032304000422
641305104403155344
72346021145246501
oct256506377661460
946437632406201
1012001011000112
113907666931192
121419a62375b54
136908c8cab8c4
142d6bcdd90ba8
1515c291a76227
hexaea33ff6330

12001011000112 has 80 divisors (see below), whose sum is σ = 24887143674432. Its totient is φ = 5586315632640.

The previous prime is 12001011000059. The next prime is 12001011000137. The reversal of 12001011000112 is 21100011010021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24325812 + ... + 24814252.

Almost surely, 212001011000112 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 12001011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443571837216).

12001011000112 is an abundant number, since it is smaller than the sum of its proper divisors (12886132674320).

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

12001011000112 is a wasteful number, since it uses less digits than its factorization.

12001011000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489446 (or 489440 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12001011000112 its reverse (21100011010021), we get a palindrome (33101022010133).

Subtracting 12001011000112 from its reverse (21100011010021), we obtain a palindrome (9099000009909).

The spelling of 12001011000112 in words is "twelve trillion, one billion, eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 103 136 206 272 412 824 877 1648 1751 1754 3502 3508 7004 7016 14008 14032 14909 28016 29818 59636 90331 119272 180662 238544 361324 488441 722648 976882 1445296 1535627 1953764 3071254 3907528 6142508 7815056 8303497 12285016 16606994 24570032 33213988 50309423 66427976 100618846 132855952 201237692 402475384 428362757 804950768 855260191 856725514 1710520382 1713451028 3421040764 3426902056 6842081528 6853804112 7282166869 13684163056 14564333738 29128667476 44121363971 58257334952 88242727942 116514669904 176485455884 352970911768 705941823536 750063187507 1500126375014 3000252750028 6000505500056 12001011000112