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12101232312012 = 22329731231386963
BaseRepresentation
bin1011000000011000100110…
…1001110011111011001100
31120211212101200112101022210
42300012021221303323030
53041231310432441022
641423121313510420
72356166550324264
oct260061151637314
946755350471283
1012101232312012
113946116186188
121435372272410
1369a1ab5c7c1c
142db9ba5807a4
1515ebaa429a0c
hexb0189a73ecc

12101232312012 has 96 divisors (see below), whose sum is σ = 29634136519680. Its totient is φ = 3838167728640.

The previous prime is 12101232312011. The next prime is 12101232312019. The reversal of 12101232312012 is 21021323210121.

It is a self number, because there is not a number n which added to its sum of digits gives 12101232312012.

It is not an unprimeable number, because it can be changed into a prime (12101232312011) 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, 31078843 + ... + 31465805.

It is an arithmetic number, because the mean of its divisors is an integer number (308688922080).

Almost surely, 212101232312012 is an apocalyptic number.

12101232312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101232312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817068259840).

12101232312012 is an abundant number, since it is smaller than the sum of its proper divisors (17532904207668).

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

12101232312012 is a wasteful number, since it uses less digits than its factorization.

12101232312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388303 (or 388301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12101232312012 its reverse (21021323210121), we get a palindrome (33122555522133).

The spelling of 12101232312012 in words is "twelve trillion, one hundred one billion, two hundred thirty-two million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 146 174 219 292 348 438 876 1231 2117 2462 3693 4234 4924 6351 7386 8468 12702 14772 25404 35699 71398 89863 107097 142796 179726 214194 269589 359452 386963 428388 539178 773926 1078356 1160889 1547852 2321778 2606027 4643556 5212054 7818081 10424108 11221927 15636162 22443854 28248299 31272324 33665781 44887708 56496598 67331562 84744897 112993196 134663124 169489794 338979588 476351453 819200671 952702906 1429054359 1638401342 1905405812 2457602013 2858108718 3276802684 4915204026 5716217436 9830408052 13814192137 27628384274 34773656069 41442576411 55256768548 69547312138 82885152822 104320968207 139094624276 165770305644 208641936414 417283872828 1008436026001 2016872052002 3025308078003 4033744104004 6050616156006 12101232312012