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12199744209696 = 2531371063872621
BaseRepresentation
bin1011000110000111100101…
…1010111000001100100000
31121012021200011001021221220
42301201321122320030200
53044340034004202241
641540252441415040
72366255014540131
oct261417132701440
947167604037856
1012199744209696
113983978617a5a
12145048579a480
136a657aa1c944
14302683b17c88
15162523bba166
hexb18796b8320

12199744209696 has 96 divisors (see below), whose sum is σ = 32288466043008. Its totient is φ = 4033096058880.

The previous prime is 12199744209637. The next prime is 12199744209727. The reversal of 12199744209696 is 69690244799121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121997442096962 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12199744209696.

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, 13544266 + ... + 14416886.

It is an arithmetic number, because the mean of its divisors is an integer number (336338187948).

Almost surely, 212199744209696 is an apocalyptic number.

12199744209696 is a gapful number since it is divisible by the number (16) 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 12199744209696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144233021504).

12199744209696 is an abundant number, since it is smaller than the sum of its proper divisors (20088721833312).

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

12199744209696 is a wasteful number, since it uses less digits than its factorization.

12199744209696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873834 (or 873826 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 12199744209696 in words is "twelve trillion, one hundred ninety-nine billion, seven hundred forty-four million, two hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1063 1096 1644 2126 2192 3189 3288 4252 4384 6378 6576 8504 12756 13152 17008 25512 34016 51024 102048 145631 291262 436893 582524 872621 873786 1165048 1745242 1747572 2330096 2617863 3490484 3495144 4660192 5235726 6980968 6990288 10471452 13961936 13980576 20942904 27923872 41885808 83771616 119549077 239098154 358647231 478196308 717294462 927596123 956392616 1434588924 1855192246 1912785232 2782788369 2869177848 3710384492 3825570464 5565576738 5738355696 7420768984 11131153476 11476711392 14841537968 22262306952 29683075936 44524613904 89049227808 127080668851 254161337702 381242006553 508322675404 762484013106 1016645350808 1524968026212 2033290701616 3049936052424 4066581403232 6099872104848 12199744209696