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12126705136 = 2471341203141
BaseRepresentation
bin10110100101100111…
…01101010111110000
31011022010112110010021
423102303231113300
5144313414031021
65323153213224
7606340202320
oct132263552760
934263473107
1012126705136
115163233067
122425261214
1311b3498690
148307a1280
154ae94cc41
hex2d2ced5f0

12126705136 has 80 divisors (see below), whose sum is σ = 29622979008. Its totient is φ = 4680345600.

The previous prime is 12126705091. The next prime is 12126705161. The reversal of 12126705136 is 63150762121.

It is a congruent number.

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, 41875 + ... + 161266.

Almost surely, 212126705136 is an apocalyptic number.

12126705136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12126705136 is an abundant number, since it is smaller than the sum of its proper divisors (17496273872).

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

12126705136 is a wasteful number, since it uses less digits than its factorization.

12126705136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203210 (or 203204 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 12126705136 in words is "twelve billion, one hundred twenty-six million, seven hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 4264 4592 7462 8528 14924 29848 59696 203141 406282 812564 1421987 1625128 2640833 2843974 3250256 5281666 5687948 8328781 10563332 11375896 16657562 18485831 21126664 22751792 33315124 36971662 42253328 58301467 66630248 73943324 108274153 116602934 133260496 147886648 216548306 233205868 295773296 433096612 466411736 757919071 866193224 932823472 1515838142 1732386448 3031676284 6063352568 12126705136