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12116760381 = 331141995053
BaseRepresentation
bin10110100100011011…
…10001011100111101
31011021102211012111000
423102031301130331
5144303342313011
65322200120513
7606156523005
oct132215613475
934242735430
1012116760381
115158660460
122421a66139
1311b13c5ccb
1482d333005
154adb36356
hex2d237173d

12116760381 has 32 divisors (see below), whose sum is σ = 20060288640. Its totient is φ = 7164374400.

The previous prime is 12116760371. The next prime is 12116760391. The reversal of 12116760381 is 18306761121.

12116760381 is a `hidden beast` number, since 1 + 211 + 6 + 7 + 60 + 381 = 666.

It is an interprime number because it is at equal distance from previous prime (12116760371) and next prime (12116760391).

It is not a de Polignac number, because 12116760381 - 25 = 12116760349 is a prime.

It is a super-2 number, since 2×121167603812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116760371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 485350 + ... + 509703.

It is an arithmetic number, because the mean of its divisors is an integer number (626884020).

Almost surely, 212116760381 is an apocalyptic number.

12116760381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12116760381 is a deficient number, since it is larger than the sum of its proper divisors (7943528259).

12116760381 is a wasteful number, since it uses less digits than its factorization.

12116760381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995114 (or 995108 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12116760381 in words is "twelve billion, one hundred sixteen million, seven hundred sixty thousand, three hundred eighty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 12177 995053 2985159 8955477 10945583 26866431 32836749 40797173 98510247 122391519 295530741 367174557 448768903 1101523671 1346306709 4038920127 12116760381