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12000020001112 = 23111343673640933
BaseRepresentation
bin1010111010011111100011…
…1011011111000101011000
31120111012011000201021011101
42232213320323133011120
53033102020110013422
641304422202441144
72345654453014543
oct256477073370530
946435130637141
1012000020001112
1139071a84a5a50
1214198265031b4
1369079b8a3670
142d6b3850785a
1515c234a71c27
hexae9f8edf158

12000020001112 has 128 divisors (see below), whose sum is σ = 27452059810560. Its totient is φ = 4844478481920.

The previous prime is 12000020001071. The next prime is 12000020001113. The reversal of 12000020001112 is 21110002000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000020001113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475398 + ... + 5116330.

It is an arithmetic number, because the mean of its divisors is an integer number (214469217270).

Almost surely, 212000020001112 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 12000020001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726029905280).

12000020001112 is an abundant number, since it is smaller than the sum of its proper divisors (15452039809448).

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

12000020001112 is a wasteful number, since it uses less digits than its factorization.

12000020001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641073 (or 3641069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000020001112 its reverse (21110002000021), we get a palindrome (33110022001133).

The spelling of 12000020001112 in words is "twelve trillion, twenty million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 67 86 88 104 134 143 172 268 286 344 473 536 559 572 737 871 946 1118 1144 1474 1742 1892 2236 2881 2948 3484 3784 4472 5762 5896 6149 6968 9581 11524 12298 19162 23048 24596 31691 37453 38324 49192 63382 74906 76648 126764 149812 253528 299624 411983 823966 1647932 3295864 3640933 7281866 14563732 29127464 40050263 47332129 80100526 94664258 156560119 160201052 189328516 243942511 313120238 320402104 378657032 487885022 520653419 626240476 975770044 1041306838 1252480952 1722161309 1951540088 2035281547 2082613676 2683367621 3171252643 3444322618 4070563094 4165227352 5366735242 6342505286 6888645236 8141126188 10489527973 10733470484 12685010572 13777290472 16282252376 20979055946 21466940968 22388097017 25370021144 34883779073 41958111892 44776194034 69767558146 83916223784 89552388068 115384807703 136363863649 139535116292 179104776136 230769615406 272727727298 279070232584 461539230812 545455454596 923078461624 1090910909192 1500002500139 3000005000278 6000010000556 12000020001112