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12123120141 = 32117111631483
BaseRepresentation
bin10110100101001100…
…00010001000001101
31011021212210022102200
423102212002020031
5144312004321031
65322544312113
7606264551406
oct132246021015
934255708380
1012123120141
115161204660
122424012639
1311b2811992
1483010a9ad
154ae4908e6
hex2d298220d

12123120141 has 48 divisors (see below), whose sum is σ = 19401887232. Its totient is φ = 7232752800.

The previous prime is 12123120133. The next prime is 12123120151. The reversal of 12123120141 is 14102132121.

12123120141 is a `hidden beast` number, since 1 + 212 + 312 + 0 + 141 = 666.

It is not a de Polignac number, because 12123120141 - 23 = 12123120133 is a prime.

It is a super-3 number, since 3×121231201413 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8173986 + ... + 8175468.

It is an arithmetic number, because the mean of its divisors is an integer number (404205984).

Almost surely, 212123120141 is an apocalyptic number.

12123120141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123120141 is a deficient number, since it is larger than the sum of its proper divisors (7278767091).

12123120141 is a wasteful number, since it uses less digits than its factorization.

12123120141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12123120141 its reverse (14102132121), we get a palindrome (26225252262).

The spelling of 12123120141 in words is "twelve billion, one hundred twenty-three million, one hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 1163 1483 2343 3489 4449 7029 10467 12793 13347 16313 38379 48939 82573 105293 115137 146817 247719 315879 743157 908303 947637 1158223 1724729 2724909 3474669 5174187 8174727 10424007 15522561 18972019 56916057 122455759 170748171 367367277 1102101831 1347013349 4041040047 12123120141