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12127735876 = 22172412792
BaseRepresentation
bin10110100101101111…
…01001000001000100
31011022012110211000211
423102313221001010
5144314200022001
65323231245204
7606352024354
oct132267510104
934265424024
1012127735876
115163877513
122425679804
1311b3769899
1483098cb64
154aeaa3351
hex2d2de9044

12127735876 has 81 divisors (see below), whose sum is σ = 23404937367. Its totient is φ = 5497489920.

The previous prime is 12127735871. The next prime is 12127735901. The reversal of 12127735876 is 67853772121.

It is a happy number.

The square root of 12127735876 is 110126.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 854392900 + 11273342976 = 29230^2 + 106176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12127735871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153515605 + ... + 153515683.

Almost surely, 212127735876 is an apocalyptic number.

12127735876 is the 110126-th square number.

It is an amenable number.

12127735876 is a deficient number, since it is larger than the sum of its proper divisors (11277201491).

12127735876 is an equidigital number, since it uses as much as digits as its factorization.

12127735876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its digits is 987840, while the sum is 49.

Multiplying 12127735876 by its sum of digits (49), we get a square (594259057924 = 7708822).

The spelling of 12127735876 in words is "twelve billion, one hundred twenty-seven million, seven hundred thirty-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 17 34 41 68 79 82 158 164 289 316 578 697 1156 1343 1394 1681 2686 2788 3239 3362 5372 6241 6478 6724 11849 12482 12956 22831 23698 24964 28577 45662 47396 55063 57154 91324 106097 110126 114308 132799 212194 220252 255881 265598 424388 485809 511762 531196 936071 971618 1023524 1803649 1872142 1943236 2257583 3607298 3744284 4349977 4515166 7214596 8699954 9030332 10491121 17399908 20982242 38378911 41964484 73949609 76757822 147899218 153515644 178349057 295798436 356698114 713396228 3031933969 6063867938 12127735876