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12012000230100 = 22352137151430709
BaseRepresentation
bin1010111011001100001100…
…0000011011101011010100
31120112100001221121221210010
42232303003000123223110
53033301034024330400
641314123044400220
72346560364205053
oct256630300335324
946470057557703
1012012000230100
113911295a83342
12142000a6a6070
1369195a905060
142d755365a39a
1515c6d66d9450
hexaecc301bad4

12012000230100 has 144 divisors (see below), whose sum is σ = 37433481603840. Its totient is φ = 2956379712000.

The previous prime is 12012000230089. The next prime is 12012000230117. The reversal of 12012000230100 is 103200021021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27673546 + ... + 28104254.

It is an arithmetic number, because the mean of its divisors is an integer number (259954733360).

Almost surely, 212012000230100 is an apocalyptic number.

12012000230100 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 12012000230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18716740801920).

12012000230100 is an abundant number, since it is smaller than the sum of its proper divisors (25421481373740).

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

12012000230100 is a wasteful number, since it uses less digits than its factorization.

12012000230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437890 (or 437883 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12012000230100 its reverse (103200021021), we get a palindrome (12115200251121).

The spelling of 12012000230100 in words is "twelve trillion, twelve billion, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 7151 14302 21453 28604 35755 42906 71510 85812 92963 107265 143020 178775 185926 214530 278889 357550 371852 429060 430709 464815 536325 557778 715100 861418 929630 1072650 1115556 1292127 1394445 1722836 1859260 2145300 2153545 2324075 2584254 2788890 4307090 4648150 5168508 5577780 5599217 6460635 6972225 8614180 9296300 10767725 11198434 12921270 13944450 16797651 21535450 22396868 25842540 27888900 27996085 32303175 33595302 43070900 55992170 64606350 67190604 83988255 111984340 129212700 139980425 167976510 279960850 335953020 419941275 559921700 839882550 1679765100 3080000059 6160000118 9240000177 12320000236 15400000295 18480000354 30800000590 36960000708 40040000767 46200000885 61600001180 77000001475 80080001534 92400001770 120120002301 154000002950 160160003068 184800003540 200200003835 231000004425 240240004602 308000005900 400400007670 462000008850 480480009204 600600011505 800800015340 924000017700 1001000019175 1201200023010 2002000038350 2402400046020 3003000057525 4004000076700 6006000115050 12012000230100