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12012122232200 = 23521071813101183
BaseRepresentation
bin1010111011001100101001…
…0001110101010110001000
31120112100101110012022012102
42232303022101311112020
53033301311242412300
641314143123332532
72346563405205236
oct256631221652610
946470343168172
1012012122232200
113911348932322
121420043521148
13691979c8034c
142d7565937956
1515c6e22880d5
hexaecca475588

12012122232200 has 96 divisors (see below), whose sum is σ = 28344945807360. Its totient is φ = 4733644204800.

The previous prime is 12012122232197. The next prime is 12012122232223. The reversal of 12012122232200 is 223222121021.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2322809 + ... + 5423991.

It is an arithmetic number, because the mean of its divisors is an integer number (295259852160).

Almost surely, 212012122232200 is an apocalyptic number.

12012122232200 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 12012122232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172472903680).

12012122232200 is an abundant number, since it is smaller than the sum of its proper divisors (16332823575160).

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

12012122232200 is a wasteful number, since it uses less digits than its factorization.

12012122232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101487 (or 3101478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12012122232200 its reverse (223222121021), we get a palindrome (12235344353221).

The spelling of 12012122232200 in words is "twelve trillion, twelve billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 181 200 214 362 428 535 724 856 905 1070 1448 1810 2140 2675 3620 4280 4525 5350 7240 9050 10700 18100 19367 21400 36200 38734 77468 96835 154936 193670 387340 484175 774680 968350 1936700 3101183 3873400 6202366 12404732 15505915 24809464 31011830 62023660 77529575 124047320 155059150 310118300 331826581 561314123 620236600 663653162 1122628246 1327306324 1659132905 2245256492 2654612648 2806570615 3318265810 4490512984 5613141230 6636531620 8295664525 11226282460 13273063240 14032853075 16591329050 22452564920 28065706150 33182658100 56131412300 60060611161 66365316200 112262824600 120121222322 240242444644 300303055805 480484889288 600606111610 1201212223220 1501515279025 2402424446440 3003030558050 6006061116100 12012122232200