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12220012202220 = 22325372534972383
BaseRepresentation
bin1011000111010011000101…
…1111001000100011101100
31121021012222122211222211200
42301310301133020203230
53100203041110432340
641553443543045500
72400603202614264
oct261646137104354
947235878758750
1012220012202220
1139915293497a9
1214543a1440890
136a845aa99724
143036478407a4
15162d0d221330
hexb1d317c88ec

12220012202220 has 144 divisors (see below), whose sum is σ = 38071218931200. Its totient is φ = 3170428881408.

The previous prime is 12220012202197. The next prime is 12220012202227. The reversal of 12220012202220 is 2220221002221.

12220012202220 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 1 + 220 + 2 + 220 = 666.

12220012202220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12220012202193 and 12220012202202.

It is not an unprimeable number, because it can be changed into a prime (12220012202227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168788149 + ... + 168860531.

It is an arithmetic number, because the mean of its divisors is an integer number (264383464800).

Almost surely, 212220012202220 is an apocalyptic number.

12220012202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012202220 is an abundant number, since it is smaller than the sum of its proper divisors (25851206728980).

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

12220012202220 is a wasteful number, since it uses less digits than its factorization.

12220012202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97784 (or 97779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220012202220 its reverse (2220221002221), we get a palindrome (14440233204441).

The spelling of 12220012202220 in words is "twelve trillion, two hundred twenty billion, twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 25349 50698 72383 76047 101396 126745 144766 152094 217149 228141 253490 289532 304188 361915 380235 434298 456282 506980 651447 723830 760470 868596 912564 937913 1085745 1140705 1302894 1447660 1520940 1875826 2171490 2281410 2605788 2678171 2813739 3257235 3751652 4342980 4562820 4689565 5356342 5627478 6514470 8034513 8441217 9379130 10712684 11254956 13028940 13390855 14068695 16069026 16882434 18758260 24103539 26781710 28137390 32138052 33764868 40172565 42206085 48207078 53563420 56274780 80345130 84412170 96414156 120517695 160690260 168824340 241035390 482070780 1834836667 3669673334 5504510001 7339346668 9174183335 11009020002 16513530003 18348366670 22018040004 27522550005 33027060006 36696733340 55045100010 66054120012 67888956679 82567650015 110090200020 135777913358 165135300030 203666870037 271555826716 330270600060 339444783395 407333740074 611000610111 678889566790 814667480148 1018334350185 1222001220222 1357779133580 2036668700370 2444002440444 3055003050555 4073337400740 6110006101110 12220012202220