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12000221022112 = 257313761760773
BaseRepresentation
bin1010111010100000010011…
…1010010100011110100000
31120111012200000222012010121
42232220010322110132200
53033102423040201422
641304454143210024
72345662443453601
oct256500472243640
946435600865117
1012000221022112
1139072a0a16004
1214198818a6914
136908014275bb
142d6b570b3da8
1515c24752d8c7
hexaea04e947a0

12000221022112 has 96 divisors (see below), whose sum is σ = 24163378242192. Its totient is φ = 5865102802944.

The previous prime is 12000221022091. The next prime is 12000221022149. The reversal of 12000221022112 is 21122012200021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5658708470416 + 6341512551696 = 2378804^2 + 2518236^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 197429358 + ... + 197490130.

Almost surely, 212000221022112 is an apocalyptic number.

It is an amenable number.

12000221022112 is an abundant number, since it is smaller than the sum of its proper divisors (12163157220080).

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

12000221022112 is a wasteful number, since it uses less digits than its factorization.

12000221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61610 (or 61602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12000221022112 its reverse (21122012200021), we get a palindrome (33122233222133).

The spelling of 12000221022112 in words is "twelve trillion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 73 137 146 274 292 548 584 617 1096 1168 1234 2192 2336 2468 4384 4936 9872 10001 19744 20002 40004 45041 60773 80008 84529 90082 121546 160016 169058 180164 243092 320032 338116 360328 486184 676232 720656 972368 1352464 1441312 1944736 2704928 4436429 6170617 8325901 8872858 12341234 16651802 17745716 24682468 33303604 35491432 37496941 49364936 66607208 70982864 74993882 98729872 133214416 141965728 149987764 197459744 266428832 299975528 599951056 607790773 1199902112 1215581546 2431163092 2737276693 4862326184 5137080917 5474553386 9724652368 10274161834 10949106772 19449304736 20548323668 21898213544 41096647336 43796427088 82193294672 87592854176 164386589344 375006906941 750013813882 1500027627764 3000055255528 6000110511056 12000221022112