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12300322013320 = 235111371297157327
BaseRepresentation
bin1011001011111110010001…
…0100110000000010001000
31121112220021120221002202211
42302333210110300002020
53103012024413411240
642054405005034504
72406445306010245
oct262774424600210
947486246832684
1012300322013320
113a125a0120510
121467a74b55a34
136b2bb9155c03
143074a57c45cc
15164e5d9dabea
hexb2fe4530088

12300322013320 has 128 divisors (see below), whose sum is σ = 30435718325760. Its totient is φ = 4436744232960.

The previous prime is 12300322013311. The next prime is 12300322013339. The reversal of 12300322013320 is 2331022300321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12300322013291 and 12300322013300.

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, 78104497 + ... + 78261823.

It is an arithmetic number, because the mean of its divisors is an integer number (237779049420).

Almost surely, 212300322013320 is an apocalyptic number.

12300322013320 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 12300322013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217859162880).

12300322013320 is an abundant number, since it is smaller than the sum of its proper divisors (18135396312440).

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

12300322013320 is a wasteful number, since it uses less digits than its factorization.

12300322013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158783 (or 158779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12300322013320 its reverse (2331022300321), we get a palindrome (14631344313641).

The spelling of 12300322013320 in words is "twelve trillion, three hundred billion, three hundred twenty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1297 1370 1507 2594 2740 3014 5188 5480 6028 6485 7535 10376 12056 12970 14267 15070 25940 28534 30140 51880 57068 60280 71335 114136 142670 157327 177689 285340 314654 355378 570680 629308 710756 786635 888445 1258616 1421512 1573270 1730597 1776890 1954579 3146540 3461194 3553780 3909158 6293080 6922388 7107560 7818316 8652985 9772895 13844776 15636632 17305970 19545790 21553799 34611940 39091580 43107598 69223880 78183160 86215196 107768995 172430392 204053119 215537990 237091789 408106238 431075980 474183578 816212476 862151960 948367156 1020265595 1185458945 1632424952 1896734312 2040531190 2244584309 2370917890 4081062380 4489168618 4741835780 8162124760 8978337236 9483671560 11222921545 17956674472 22445843090 27955277303 44891686180 55910554606 89783372360 111821109212 139776386515 223642218424 279552773030 307508050333 559105546060 615016100666 1118211092120 1230032201332 1537540251665 2460064402664 3075080503330 6150161006660 12300322013320