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12083714877080 = 23571128191391729
BaseRepresentation
bin1010111111010111010110…
…0010000110011010011000
31120210012011212101111010102
42233311311202012122120
53040434422002031310
641411103150234532
72355006501512360
oct257656542063230
946705155344112
1012083714877080
113939747032030
121431aa37b5a48
13698649356a02
142dabd7c8b9a0
1515e4d25e38a5
hexafd75886698

12083714877080 has 128 divisors (see below), whose sum is σ = 33909223104000. Its totient is φ = 3765013923840.

The previous prime is 12083714877043. The next prime is 12083714877083. The reversal of 12083714877080 is 8077841738021.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083714877083) by changing a digit.

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, 7986656 + ... + 9378384.

It is an arithmetic number, because the mean of its divisors is an integer number (264915805500).

Almost surely, 212083714877080 is an apocalyptic number.

12083714877080 is a gapful number since it is divisible by the number (10) 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 12083714877080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954611552000).

12083714877080 is an abundant number, since it is smaller than the sum of its proper divisors (21825508226920).

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

12083714877080 is a wasteful number, since it uses less digits than its factorization.

12083714877080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394577 (or 1394573 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 56.

The spelling of 12083714877080 in words is "twelve trillion, eighty-three billion, seven hundred fourteen million, eight hundred seventy-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2819 3080 5638 11276 14095 19733 22552 28190 31009 39466 56380 62018 78932 98665 112760 124036 155045 157864 197330 217063 248072 310090 394660 434126 620180 789320 868252 1085315 1240360 1391729 1736504 2170630 2783458 4341260 5566916 6958645 8682520 9742103 11133832 13917290 15309019 19484206 27834580 30618038 38968412 48710515 55669160 61236076 76545095 77936824 97421030 107163133 122472152 153090190 194842060 214326266 306180380 389684120 428652532 535815665 612360760 857305064 1071631330 2143262660 3923284051 4286525320 7846568102 15693136204 19616420255 27462988357 31386272408 39232840510 43156124561 54925976714 78465681020 86312249122 109851953428 137314941785 156931362040 172624498244 215780622805 219703906856 274629883570 302092871927 345248996488 431561245610 549259767140 604185743854 863122491220 1098519534280 1208371487708 1510464359635 1726244982440 2416742975416 3020928719270 6041857438540 12083714877080