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12313012001220 = 22325719151163517
BaseRepresentation
bin1011001100101101100010…
…1101001101100111000100
31121121010000222101021120200
42303023120231031213010
53103214022033014340
642104304123330500
72410404626065440
oct263133055154704
947533028337520
1012313012001220
113a17a12303217
12146a416980a30
136b415c2328a8
14307d4acd1820
15165452b02330
hexb32d8b4d9c4

12313012001220 has 144 divisors (see below), whose sum is σ = 42908591351808. Its totient is φ = 2799667595520.

The previous prime is 12313012001209. The next prime is 12313012001261. The reversal of 12313012001220 is 2210021031321.

12313012001220 is a `hidden beast` number, since 12 + 31 + 301 + 200 + 122 + 0 = 666.

12313012001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123130120012202 (a number of 27 digits) contains 22 as substring.

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 = 12313012001193 and 12313012001202.

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, 25341099 + ... + 25822418.

It is an arithmetic number, because the mean of its divisors is an integer number (297976328832).

Almost surely, 212313012001220 is an apocalyptic number.

12313012001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313012001220 is an abundant number, since it is smaller than the sum of its proper divisors (30595579350588).

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

12313012001220 is a wasteful number, since it uses less digits than its factorization.

12313012001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51163730 (or 51163725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12313012001220 its reverse (2210021031321), we get a palindrome (14523033032541).

The spelling of 12313012001220 in words is "twelve trillion, three hundred thirteen billion, twelve million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 191 210 252 315 382 420 573 630 764 955 1146 1260 1337 1719 1910 2292 2674 2865 3438 3820 4011 5348 5730 6685 6876 8022 8595 11460 12033 13370 16044 17190 20055 24066 26740 34380 40110 48132 60165 80220 120330 240660 51163517 102327034 153490551 204654068 255817585 306981102 358144619 460471653 511635170 613962204 716289238 767452755 920943306 1023270340 1074433857 1432578476 1534905510 1790723095 1841886612 2148867714 2302358265 3069811020 3223301571 3581446190 4297735428 4604716530 5372169285 6446603142 7162892380 9209433060 9772231747 10744338570 12893206284 16116507855 19544463494 21488677140 29316695241 32233015710 39088926988 48861158735 58633390482 64466031420 68405622229 87950085723 97722317470 117266780964 136811244458 146583476205 175900171446 195444634940 205216866687 273622488916 293166952410 342028111145 351800342892 410433733374 439750428615 586333904820 615650600061 684056222290 820867466748 879500857230 1026084333435 1231301200122 1368112444580 1759001714460 2052168666870 2462602400244 3078253000305 4104337333740 6156506000610 12313012001220