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12123112131 = 341317677231
BaseRepresentation
bin10110100101001100…
…00000001011000011
31011021212202220110000
423102212000023003
5144312004042011
65322544211043
7606264516144
oct132246001303
934255686400
1012123112131
1151611a9639
122424009a83
1311b280b140
14830107acb
154ae48d356
hex2d29802c3

12123112131 has 40 divisors (see below), whose sum is σ = 20650158144. Its totient is φ = 7021520640.

The previous prime is 12123112129. The next prime is 12123112151. The reversal of 12123112131 is 13121132121.

It is not a de Polignac number, because 12123112131 - 21 = 12123112129 is a prime.

It is a super-2 number, since 2×121231121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12123112151) 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 39 ways as a sum of consecutive naturals, for example, 320715 + ... + 356516.

Almost surely, 212123112131 is an apocalyptic number.

12123112131 is a deficient number, since it is larger than the sum of its proper divisors (8527046013).

12123112131 is a wasteful number, since it uses less digits than its factorization.

12123112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677273 (or 677264 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12123112131 its reverse (13121132121), we get a palindrome (25244244252).

The spelling of 12123112131 in words is "twelve billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 677231 2031693 6095079 8804003 11512927 18285237 26412009 34538781 54855711 79236027 103616343 149668051 237708081 310849029 449004153 713124243 932547087 1347012459 4041037377 12123112131