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12301323120 = 2433516334939
BaseRepresentation
bin10110111010011011…
…10100101101110000
31011202022002221222000
423131031310231300
5200143114314440
65352352014000
7613560343542
oct133515645560
934668087860
1012301323120
11524285a149
122473831300
131210706928
14849a57692
154bee41730
hex2dd374b70

12301323120 has 160 divisors (see below), whose sum is σ = 42632390400. Its totient is φ = 3260134656.

The previous prime is 12301323107. The next prime is 12301323127. The reversal of 12301323120 is 2132310321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12301323093 and 12301323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301323127) 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, 334611 + ... + 369549.

It is an arithmetic number, because the mean of its divisors is an integer number (266452440).

Almost surely, 212301323120 is an apocalyptic number.

12301323120 is a gapful number since it is divisible by the number (10) 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 12301323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316195200).

12301323120 is an abundant number, since it is smaller than the sum of its proper divisors (30331067280).

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

12301323120 is a wasteful number, since it uses less digits than its factorization.

12301323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124 (or 35112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12301323120 its reverse (2132310321), we get a palindrome (14433633441).

The spelling of 12301323120 in words is "twelve billion, three hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 163 180 216 240 270 326 360 432 489 540 652 720 815 978 1080 1304 1467 1630 1956 2160 2445 2608 2934 3260 3912 4401 4890 5868 6520 7335 7824 8802 9780 11736 13040 14670 17604 19560 22005 23472 29340 34939 35208 39120 44010 58680 69878 70416 88020 104817 117360 139756 174695 176040 209634 279512 314451 349390 352080 419268 524085 559024 628902 698780 838536 943353 1048170 1257804 1397560 1572255 1677072 1886706 2096340 2515608 2795120 3144510 3773412 4192680 4716765 5031216 5695057 6289020 7546824 8385360 9433530 11390114 12578040 15093648 17085171 18867060 22780228 25156080 28475285 34170342 37734120 45560456 51255513 56950570 68340684 75468240 85425855 91120912 102511026 113901140 136681368 153766539 170851710 205022052 227802280 256277565 273362736 307533078 341703420 410044104 455604560 512555130 615066156 683406840 768832695 820088208 1025110260 1230132312 1366813680 1537665390 2050220520 2460264624 3075330780 4100441040 6150661560 12301323120