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12606316405620 = 22357217252227219
BaseRepresentation
bin1011011101110010001100…
…0000101110001101110100
31122122011002212100210212120
42313130203000232031310
53123020213444434440
642451132314515540
72440530162304200
oct267344300561564
948564085323776
1012606316405620
114020343a68433
1214b7231a35bb0
13705a02b38cc2
14318212ab5b00
1516cdbc575dd0
hexb772302e374

12606316405620 has 144 divisors (see below), whose sum is σ = 43475901456960. Its totient is φ = 2711947047936.

The previous prime is 12606316405583. The next prime is 12606316405643. The reversal of 12606316405620 is 2650461360621.

12606316405620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 126063630 + ... + 126163589.

It is an arithmetic number, because the mean of its divisors is an integer number (301915982340).

Almost surely, 212606316405620 is an apocalyptic number.

12606316405620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12606316405620 is an abundant number, since it is smaller than the sum of its proper divisors (30869585051340).

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

12606316405620 is a wasteful number, since it uses less digits than its factorization.

12606316405620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252227262 (or 252227253 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 12606316405620 in words is "twelve trillion, six hundred six billion, three hundred sixteen million, four hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 252227219 504454438 756681657 1008908876 1261136095 1513363314 1765590533 2522272190 3026726628 3531181066 3783408285 4287862723 5044544380 5296771599 7062362132 7566816570 8575725446 8827952665 10593543198 12359133731 12863588169 15133633140 17151450892 17655905330 21187086396 21439313615 24718267462 25727176338 26483857995 30015039061 35311810660 37077401193 42878627230 49436534924 51454352676 52967715990 60030078122 61795668655 64317940845 74154802386 85757254460 90045117183 105935431980 120060156244 123591337310 128635881690 148309604772 150075195305 180090234366 185387005965 210105273427 247182674620 257271763380 300150390610 360180468732 370774011930 420210546854 450225585915 600300781220 630315820281 741548023860 840421093708 900451171830 1050526367135 1260631640562 1800902343660 2101052734270 2521263281124 3151579101405 4202105468540 6303158202810 12606316405620