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12000220112200 = 2352531783634939
BaseRepresentation
bin1010111010100000010011…
…0110110110010101001000
31120111012122222020221222011
42232220010312312111020
53033102422322042300
641304454111505304
72345662432644025
oct256500466662510
946435588227864
1012000220112200
1139072a0454411
121419881528234
136908011993a8
142d6b56d1854c
1515c2473edeba
hexaea04db6548

12000220112200 has 96 divisors (see below), whose sum is σ = 28442924625600. Its totient is φ = 4706871586560.

The previous prime is 12000220112191. The next prime is 12000220112207. The reversal of 12000220112200 is 221102200021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12000220112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18582331 + ... + 19217269.

It is an arithmetic number, because the mean of its divisors is an integer number (296280464850).

Almost surely, 212000220112200 is an apocalyptic number.

12000220112200 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 12000220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221462312800).

12000220112200 is an abundant number, since it is smaller than the sum of its proper divisors (16442704513400).

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

12000220112200 is a wasteful number, since it uses less digits than its factorization.

12000220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636791 (or 636782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12000220112200 its reverse (221102200021), we get a palindrome (12221322312221).

The spelling of 12000220112200 in words is "twelve trillion, two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1783 2120 2650 3566 5300 7132 8915 10600 14264 17830 35660 44575 71320 89150 94499 178300 188998 356600 377996 472495 634939 755992 944990 1269878 1889980 2362475 2539756 3174695 3779960 4724950 5079512 6349390 9449900 12698780 15873475 18899800 25397560 31746950 33651767 63493900 67303534 126987800 134607068 168258835 269214136 336517670 673035340 841294175 1132096237 1346070680 1682588350 2264192474 3365176700 4528384948 5660481185 6730353400 9056769896 11320962370 22641924740 28302405925 45283849480 56604811850 60001100561 113209623700 120002201122 226419247400 240004402244 300005502805 480008804488 600011005610 1200022011220 1500027514025 2400044022440 3000055028050 6000110056100 12000220112200