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123000131112 = 233611374911249
BaseRepresentation
bin111001010001101100…
…0010000111000101000
3102202111002110001200120
41302203120100320220
54003401013143422
6132301103403240
711613025602225
oct1624330207050
9382432401616
10123000131112
1148189405021
121ba085b3520
13b7a2916491
145d4b98494c
1532ed57345c
hex1ca3610e28

123000131112 has 128 divisors (see below), whose sum is σ = 315716400000. Its totient is φ = 39920025600.

The previous prime is 123000131087. The next prime is 123000131131. The reversal of 123000131112 is 211131000321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123000131091 and 123000131100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98478264 + ... + 98479512.

It is an arithmetic number, because the mean of its divisors is an integer number (2466534375).

Almost surely, 2123000131112 is an apocalyptic number.

123000131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123000131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157858200000).

123000131112 is an abundant number, since it is smaller than the sum of its proper divisors (192716268888).

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

123000131112 is a wasteful number, since it uses less digits than its factorization.

123000131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123000131112 its reverse (211131000321), we get a palindrome (334131131433).

The spelling of 123000131112 in words is "one hundred twenty-three billion, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 61 122 137 183 244 274 366 411 488 491 548 732 822 982 1096 1249 1464 1473 1644 1964 2498 2946 3288 3747 3928 4996 5892 7494 8357 9992 11784 14988 16714 25071 29951 29976 33428 50142 59902 66856 67267 76189 89853 100284 119804 134534 152378 171113 179706 200568 201801 228567 239608 269068 304756 342226 359412 403602 457134 513339 538136 609512 613259 684452 718824 807204 914268 1026678 1226518 1368904 1614408 1828536 1839777 2053356 2453036 3679554 4103287 4106712 4906072 7359108 8206574 10437893 12309861 14718216 16413148 20875786 24619722 31313679 32826296 37408799 41751572 49239444 62627358 74817598 83503144 84016483 98478888 112226397 125254716 149635196 168032966 224452794 250509432 252049449 299270392 336065932 448905588 504098898 672131864 897811176 1008197796 2016395592 5125005463 10250010926 15375016389 20500021852 30750032778 41000043704 61500065556 123000131112