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12330301320 = 23325325310529
BaseRepresentation
bin10110111101111000…
…10111011110001000
31011211022122012120200
423132330113132020
5200223024120240
65355305052200
7614361555231
oct133674273610
934738565520
1012330301320
115258151977
122481487060
1312167117ac
1484d83c088
154c2767930
hex2def17788

12330301320 has 96 divisors (see below), whose sum is σ = 40089605400. Its totient is φ = 3286757376.

The previous prime is 12330301303. The next prime is 12330301391. The reversal of 12330301320 is 2310303321.

12330301320 is a `hidden beast` number, since 1 + 2 + 330 + 301 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12285062244 + 45239076 = 110838^2 + 6726^2 .

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 = 12330301293 and 12330301302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165816 + ... + 1176344.

Almost surely, 212330301320 is an apocalyptic number.

12330301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330301320 is an abundant number, since it is smaller than the sum of its proper divisors (27759304080).

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

12330301320 is a wasteful number, since it uses less digits than its factorization.

12330301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12330301320 its reverse (2310303321), we get a palindrome (14640604641).

The spelling of 12330301320 in words is "twelve billion, three hundred thirty million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3253 6506 9759 10529 13012 16265 19518 21058 26024 29277 31587 32530 39036 42116 48795 52645 58554 63174 65060 78072 84232 94761 97590 105290 117108 126348 130120 146385 157935 189522 195180 210580 234216 252696 292770 315870 379044 390360 421160 473805 585540 631740 758088 947610 1171080 1263480 1895220 3790440 34250837 68501674 102752511 137003348 171254185 205505022 274006696 308257533 342508370 411010044 513762555 616515066 685016740 822020088 1027525110 1233030132 1370033480 1541287665 2055050220 2466060264 3082575330 4110100440 6165150660 12330301320