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12012221312300 = 22521122773583919
BaseRepresentation
bin1010111011001101000000…
…1011110010110100101100
31120112100122100122002112202
42232303100023302310230
53033302012123443200
641314201023121032
72346566020316426
oct256632013626454
946470570562482
1012012221312300
113911399855700
121420070743178
13691994661221
142d7574b69816
1515c6ead0a1d5
hexaecd02f2d2c

12012221312300 has 108 divisors (see below), whose sum is σ = 28755073203360. Its totient is φ = 4352310019200.

The previous prime is 12012221312293. The next prime is 12012221312309. The reversal of 12012221312300 is 321312221021.

12012221312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12012221312309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1559741 + ... + 5143659.

Almost surely, 212012221312300 is an apocalyptic number.

12012221312300 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 12012221312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377536601680).

12012221312300 is an abundant number, since it is smaller than the sum of its proper divisors (16742851891060).

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

12012221312300 is a wasteful number, since it uses less digits than its factorization.

12012221312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584232 (or 3584214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12012221312300 its reverse (321312221021), we get a palindrome (12333533533321).

The spelling of 12012221312300 in words is "twelve trillion, twelve billion, two hundred twenty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 277 484 550 554 605 1100 1108 1210 1385 2420 2770 3025 3047 5540 6050 6094 6925 12100 12188 13850 15235 27700 30470 33517 60940 67034 76175 134068 152350 167585 304700 335170 670340 837925 1675850 3351700 3583919 7167838 14335676 17919595 35839190 39423109 71678380 78846218 89597975 157692436 179195950 197115545 358391900 394231090 433654199 788462180 867308398 985577725 992745563 1734616796 1971155450 1985491126 2168270995 3942310900 3970982252 4336541990 4963727815 8673083980 9927455630 10841354975 10920201193 19854911260 21682709950 21840402386 24818639075 43365419900 43680804772 49637278150 54601005965 99274556300 109202011930 120122213123 218404023860 240244426246 273005029825 480488852492 546010059650 600611065615 1092020119300 1201222131230 2402444262460 3003055328075 6006110656150 12012221312300