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12107081448 = 2333711727939
BaseRepresentation
bin10110100011010001…
…10110011011101000
31011020202121110111000
423101220312123220
5144243403101243
65321212435000
7606011331360
oct132150663350
934222543430
1012107081448
11515314a540
12241a778a60
1311ac3b7627
1482bd339a0
154acd735d3
hex2d1a366e8

12107081448 has 128 divisors (see below), whose sum is σ = 41929344000. Its totient is φ = 3144692160.

The previous prime is 12107081411. The next prime is 12107081449. The reversal of 12107081448 is 84418070121.

12107081448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12107081449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347338 + ... + 380601.

It is an arithmetic number, because the mean of its divisors is an integer number (327573000).

Almost surely, 212107081448 is an apocalyptic number.

12107081448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12107081448 is an abundant number, since it is smaller than the sum of its proper divisors (29822262552).

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

12107081448 is a wasteful number, since it uses less digits than its factorization.

12107081448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727972 (or 727962 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12107081448 in words is "twelve billion, one hundred seven million, eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 727939 1455878 2183817 2911756 4367634 5095573 5823512 6551451 8007329 8735268 10191146 13102902 15286719 16014658 17470536 19654353 20382292 24021987 26205804 30573438 32029316 39308706 40764584 45860157 48043974 52411608 56051303 61146876 64058632 72065961 78617412 91720314 96087948 112102606 122293752 137580471 144131922 157234824 168153909 183440628 192175896 216197883 224205212 275160942 288263844 336307818 366881256 432395766 448410424 504461727 550321884 576527688 672615636 864791532 1008923454 1100643768 1345231272 1513385181 1729583064 2017846908 3026770362 4035693816 6053540724 12107081448