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12331011123132 = 223131929143457247
BaseRepresentation
bin1011001101110000100110…
…0010011010011110111100
31121122211111100220102002120
42303130021202122132330
53104012402321420012
642120442135122540
72411612644102512
oct263341142323674
947584440812076
1012331011123132
113a24609345989
1214719ba813450
136b5a6a2165a0
14308b775704b2
15165b57d8558c
hexb370989a7bc

12331011123132 has 96 divisors (see below), whose sum is σ = 33741144729600. Its totient is φ = 3470517695232.

The previous prime is 12331011123127. The next prime is 12331011123149. The reversal of 12331011123132 is 23132111013321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71642668 + ... + 71814579.

It is an arithmetic number, because the mean of its divisors is an integer number (351470257600).

Almost surely, 212331011123132 is an apocalyptic number.

12331011123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331011123132 is an abundant number, since it is smaller than the sum of its proper divisors (21410133606468).

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

12331011123132 is a wasteful number, since it uses less digits than its factorization.

12331011123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143457315 (or 143457313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12331011123132 its reverse (23132111013321), we get a palindrome (35463122136453).

The spelling of 12331011123132 in words is "twelve trillion, three hundred thirty-one billion, eleven million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 156 174 228 247 348 377 494 551 741 754 988 1102 1131 1482 1508 1653 2204 2262 2964 3306 4524 6612 7163 14326 21489 28652 42978 85956 143457247 286914494 430371741 573828988 860743482 1721486964 1864944211 2725687693 3729888422 4160260163 5451375386 5594832633 7459776844 8177063079 8320520326 10902750772 11189665266 12480780489 16354126158 16641040652 22379330532 24961560978 32708252316 35433940009 49923121956 54083382119 70867880018 79044943097 106301820027 108166764238 141735760036 158089886194 162250146357 212603640054 216333528476 237134829291 316179772388 324500292714 425207280108 474269658582 649000585428 948539317164 1027584260261 2055168520522 3082752780783 4110337041044 6165505561566 12331011123132