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12001012000212 = 22323264732095119
BaseRepresentation
bin1010111010100011010000…
…0011101010010111010100
31120111021201011100001002210
42232220310003222113110
53033111033033001322
641305104440433420
72346021156613314
oct256506403522724
946437634301083
1012001012000212
113907667454614
121419a62778870
136908c926bb91
142d6bd0171444
1515c291bc270c
hexaea340ea5d4

12001012000212 has 96 divisors (see below), whose sum is σ = 29245715251200. Its totient is φ = 3823025133312.

The previous prime is 12001012000193. The next prime is 12001012000247. The reversal of 12001012000212 is 21200021010021.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2344402989 + ... + 2344408107.

It is an arithmetic number, because the mean of its divisors is an integer number (304642867200).

Almost surely, 212001012000212 is an apocalyptic number.

12001012000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001012000212 is an abundant number, since it is smaller than the sum of its proper divisors (17244703250988).

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

12001012000212 is a wasteful number, since it uses less digits than its factorization.

12001012000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 11003 counting only the distinct ones).

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

Adding to 12001012000212 its reverse (21200021010021), we get a palindrome (33201033010233).

The spelling of 12001012000212 in words is "twelve trillion, one billion, twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 2647 3209 5119 5294 6418 7941 9627 10238 10588 12836 15357 15882 19254 20476 30714 31764 38508 60881 61428 73807 117737 121762 147614 182643 221421 235474 243524 295228 353211 365286 442842 470948 706422 730572 885684 1412844 8494223 13549993 16426871 16988446 25482669 27099986 32853742 33976892 40649979 49280613 50965338 54199972 65707484 81299958 98561226 101930676 162599916 195367129 197122452 311649839 377818033 390734258 586101387 623299678 755636066 781468516 934949517 1133454099 1172202774 1246599356 1511272132 1869899034 2266908198 2344405548 3739798068 4533816396 43481927537 86963855074 130445782611 173927710148 260891565222 521783130444 1000084333351 2000168666702 3000253000053 4000337333404 6000506000106 12001012000212