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12200122122200 = 2352411577394327
BaseRepresentation
bin1011000110001000111111…
…1100011111111111011000
31121012022122111011020110022
42301202033330133333120
53044341322230402300
641540354141410012
72366300253666635
oct261421774377730
947168574136408
1012200122122200
113984051977241
121450570269908
136a660b0c98cc
143026bbdad18c
15162546e69285
hexb188ff1ffd8

12200122122200 has 96 divisors (see below), whose sum is σ = 29059270400160. Its totient is φ = 4760670950400.

The previous prime is 12200122122191. The next prime is 12200122122259. The reversal of 12200122122200 is 222122100221.

It is a happy number.

It is a congruent 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, 129291437 + ... + 129385763.

It is an arithmetic number, because the mean of its divisors is an integer number (302700733335).

Almost surely, 212200122122200 is an apocalyptic number.

12200122122200 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 12200122122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529635200080).

12200122122200 is an abundant number, since it is smaller than the sum of its proper divisors (16859148277960).

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

12200122122200 is a wasteful number, since it uses less digits than its factorization.

12200122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110157 (or 110148 counting only the distinct ones).

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

Adding to 12200122122200 its reverse (222122100221), we get a palindrome (12422244222421).

The spelling of 12200122122200 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 15773 31546 63092 78865 94327 126184 157730 188654 315460 377308 394325 471635 630920 646693 754616 788650 943270 1293386 1577300 1886540 2358175 2586772 3154600 3233465 3773080 3867407 4716350 5173544 6466930 7734814 9432700 12933860 15469628 16167325 18865400 19337035 25867720 30939256 32334650 38674070 64669300 77348140 96685175 129338600 154696280 193370350 386740700 773481400 1487819771 2975639542 5951279084 7439098855 11902558168 14878197710 29756395420 37195494275 59512790840 61000610611 74390988550 122001221222 148781977100 244002442444 297563954200 305003053055 488004884888 610006106110 1220012212220 1525015265275 2440024424440 3050030530550 6100061061100 12200122122200