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12064223423340 = 223251110756944319
BaseRepresentation
bin1010111110001110101111…
…0000000110101101101100
31120201022212110210001012100
42233203223300012231230
53040130012144021330
641354121104535100
72353416463055544
oct257435360065554
946638773701170
1012064223423340
113931454677380
12142a164021490
1369686113712a
142d9ca9344324
1515dc4132d060
hexaf8ebc06b6c

12064223423340 has 144 divisors (see below), whose sum is σ = 40294711941120. Its totient is φ = 2897326899840.

The previous prime is 12064223423333. The next prime is 12064223423387. The reversal of 12064223423340 is 4332432246021.

12064223423340 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 223 + 423 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12064223423295 and 12064223423304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28260300 + ... + 28684019.

It is an arithmetic number, because the mean of its divisors is an integer number (279824388480).

Almost surely, 212064223423340 is an apocalyptic number.

12064223423340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12064223423340 is an abundant number, since it is smaller than the sum of its proper divisors (28230488517780).

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

12064223423340 is a wasteful number, since it uses less digits than its factorization.

12064223423340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56944452 (or 56944447 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12064223423340 its reverse (4332432246021), we get a palindrome (16396655669361).

The spelling of 12064223423340 in words is "twelve trillion, sixty-four billion, two hundred twenty-three million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 107 110 132 165 180 198 214 220 321 330 396 428 495 535 642 660 963 990 1070 1177 1284 1605 1926 1980 2140 2354 3210 3531 3852 4708 4815 5885 6420 7062 9630 10593 11770 14124 17655 19260 21186 23540 35310 42372 52965 70620 105930 211860 56944319 113888638 170832957 227777276 284721595 341665914 512498871 569443190 626387509 683331828 854164785 1024997742 1138886380 1252775018 1708329570 1879162527 2049995484 2505550036 2562494355 3131937545 3416659140 3758325054 5124988710 5637487581 6093042133 6263875090 7516650108 9395812635 10249977420 11274975162 12186084266 12527750180 18279126399 18791625270 22549950324 24372168532 28187437905 30465210665 36558252798 37583250540 54837379197 56374875810 60930421330 67023463463 73116505596 91395631995 109674758394 112749751620 121860842660 134046926926 182791263990 201070390389 219349516788 268093853852 274186895985 335117317315 365582527980 402140780778 548373791970 603211171167 670234634630 804281561556 1005351951945 1096747583940 1206422342334 1340469269260 2010703903890 2412844684668 3016055855835 4021407807780 6032111711670 12064223423340