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12201201212004 = 22327292148177723
BaseRepresentation
bin1011000110001101000001…
…0000111001101001100100
31121012102102200122200101100
42301203100100321221210
53044401030002241004
641541053210200100
72366336066053230
oct261432020715144
947172380580340
1012201201212004
113984555aaa3a2
121450811723030
136a6750838a9c
143027814275c0
151625aba6e739
hexb18d0439a64

12201201212004 has 144 divisors (see below), whose sum is σ = 36465526581120. Its totient is φ = 3365648616960.

The previous prime is 12201201211993. The next prime is 12201201212047. The reversal of 12201201212004 is 40021210210221.

12201201212004 is a `hidden beast` number, since 1 + 220 + 120 + 121 + 200 + 4 = 666.

It is a super-2 number, since 2×122012012120042 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156944287 + ... + 157022009.

It is an arithmetic number, because the mean of its divisors is an integer number (253232823480).

Almost surely, 212201201212004 is an apocalyptic number.

12201201212004 is a gapful number since it is divisible by the number (14) 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 12201201212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232763290560).

12201201212004 is an abundant number, since it is smaller than the sum of its proper divisors (24264325369116).

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

12201201212004 is a wasteful number, since it uses less digits than its factorization.

12201201212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99250 (or 99245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201201212004 its reverse (40021210210221), we get a palindrome (52222411422225).

The spelling of 12201201212004 in words is "twelve trillion, two hundred one billion, two hundred one million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 21481 42962 64443 77723 85924 128886 150367 155446 193329 233169 257772 300734 310892 386658 451101 466338 544061 601468 622949 699507 773316 902202 932676 1088122 1245898 1353303 1399014 1632183 1804404 1868847 2176244 2253967 2491796 2706606 2798028 3264366 3737694 4360643 4507934 4896549 5413212 5606541 6528732 6761901 7475388 8721286 9015868 9793098 11213082 13081929 13523802 15777769 17442572 19586196 20285703 22426164 26163858 27047604 31555538 39245787 40571406 47333307 52327716 63111076 78491574 81142812 94666614 141999921 156983148 189333228 283999842 567999684 1669567763 3339135526 5008703289 6678271052 10017406578 11686974341 15026109867 20034813156 23373948682 30052219734 35060923023 46747897364 48417465127 60104439468 70121846046 96834930254 105182769069 140243692092 145252395381 193669860508 210365538138 290504790762 338922255889 420731076276 435757186143 581009581524 677844511778 871514372286 1016766767667 1355689023556 1743028744572 2033533535334 3050300303001 4067067070668 6100600606002 12201201212004