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12211101201112 = 23115959916992311
BaseRepresentation
bin1011000110110001111001…
…0110010111001011011000
31121020100222122020020100121
42301230132112113023120
53100031313401413422
641545411421243024
72400136320426232
oct261543626271330
947210878206317
1012211101201112
113988776315780
121452715103474
136a766a8aa7c8
14303040195252
1516298ac748c7
hexb1b1e5972d8

12211101201112 has 128 divisors (see below), whose sum is σ = 25468992000000. Its totient is φ = 5441753116800.

The previous prime is 12211101201107. The next prime is 12211101201217. The reversal of 12211101201112 is 21110210111221.

It is a super-2 number, since 2×122111012011122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5283902437 + ... + 5283904747.

It is an arithmetic number, because the mean of its divisors is an integer number (198976500000).

Almost surely, 212211101201112 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 12211101201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734496000000).

12211101201112 is an abundant number, since it is smaller than the sum of its proper divisors (13257890798888).

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

12211101201112 is a wasteful number, since it uses less digits than its factorization.

12211101201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4681 counting only the distinct ones).

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

Adding to 12211101201112 its reverse (21110210111221), we get a palindrome (33321311312333).

The spelling of 12211101201112 in words is "twelve trillion, two hundred eleven billion, one hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 599 649 1198 1298 1699 2311 2396 2596 3398 4622 4792 5192 6589 6796 9244 13178 13592 18488 18689 25421 26356 35341 37378 50842 52712 70682 74756 100241 101684 136349 141364 149512 200482 203368 272698 282728 388751 400964 545396 777502 801928 1017701 1090792 1102651 1384289 1499839 1555004 2035402 2205302 2768578 2999678 3110008 3926389 4070804 4410604 5537156 5999356 7852778 8141608 8821208 11074312 11194711 11998712 15227179 15705556 22389422 30454358 31411112 43190279 44778844 60044359 60908716 81673051 86380558 89557688 120088718 121817432 163346102 172761116 231656951 240177436 326692204 345522232 463313902 480354872 653384408 660487949 898403561 926627804 1320975898 1796807122 1853255608 2351907011 2548226461 2641951796 3593614244 4703814022 5096452922 5283903592 7187228488 9407628044 10192905844 18815256088 20385811688 25870977121 51741954242 103483908484 138762513649 206967816968 277525027298 555050054596 1110100109192 1526387650139 3052775300278 6105550600556 12211101201112