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12201212220200 = 2352436353223319
BaseRepresentation
bin1011000110001101000011…
…1010111001001100101000
31121012102110110100221210022
42301203100322321030220
53044401040312021300
641541054242140012
72366336261452133
oct261432072711450
947172413327708
1012201212220200
113984561238a83
121450815351608
136a6752bc1503
14302782a9121a
151625ac9e6285
hexb18d0eb9328

12201212220200 has 96 divisors (see below), whose sum is σ = 29032234228800. Its totient is φ = 4766213544960.

The previous prime is 12201212220097. The next prime is 12201212220227. The reversal of 12201212220200 is 202221210221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54524141 + ... + 54747459.

It is an arithmetic number, because the mean of its divisors is an integer number (302419106550).

Almost surely, 212201212220200 is an apocalyptic number.

12201212220200 is a gapful number since it is divisible by the number (10) 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 12201212220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14516117114400).

12201212220200 is an abundant number, since it is smaller than the sum of its proper divisors (16831022008600).

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

12201212220200 is a wasteful number, since it uses less digits than its factorization.

12201212220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229731 (or 229722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12201212220200 its reverse (202221210221), we get a palindrome (12403433430421).

The spelling of 12201212220200 in words is "twelve trillion, two hundred one billion, two hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 6353 8600 12706 25412 31765 50824 63530 127060 158825 223319 254120 273179 317650 446638 546358 635300 893276 1092716 1116595 1270600 1365895 1786552 2185432 2233190 2731790 4466380 5463580 5582975 6829475 8932760 9602717 10927160 11165950 13658950 19205434 22331900 27317900 38410868 44663800 48013585 54635800 76821736 96027170 192054340 240067925 384108680 480135850 960271700 1418745607 1920543400 2837491214 5674982428 7093728035 11349964856 14187456070 28374912140 35468640175 56749824280 61006061101 70937280350 122012122202 141874560700 244024244404 283749121400 305030305505 488048488808 610060611010 1220121222020 1525151527525 2440242444040 3050303055050 6100606110100 12201212220200