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12010010222000 = 245374507190339
BaseRepresentation
bin1010111011000100110001…
…1001001001110110110000
31120112010221021002001212102
42232301030121021312300
53033233000104101000
641313153355515532
72346460151340140
oct256611431116660
946463837061772
1012010010222000
11391046474084a
12141b754158ba8
1369170154897b
142d7405242920
1515c61bb4c3d5
hexaec4c649db0

12010010222000 has 160 divisors (see below), whose sum is σ = 33196343631360. Its totient is φ = 4116782534400.

The previous prime is 12010010221973. The next prime is 12010010222033. The reversal of 12010010222000 is 22201001021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63002831 + ... + 63193169.

It is an arithmetic number, because the mean of its divisors is an integer number (207477147696).

Almost surely, 212010010222000 is an apocalyptic number.

12010010222000 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 12010010222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598171815680).

12010010222000 is an abundant number, since it is smaller than the sum of its proper divisors (21186333409360).

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

12010010222000 is a wasteful number, since it uses less digits than its factorization.

12010010222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194876 (or 194860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12010010222000 its reverse (22201001021), we get a palindrome (12032211223021).

The spelling of 12010010222000 in words is "twelve trillion, ten billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 4507 7000 9014 14000 18028 22535 31549 36056 45070 63098 72112 90140 112675 126196 157745 180280 190339 225350 252392 315490 360560 380678 450700 504784 563375 630980 761356 788725 901400 951695 1126750 1261960 1332373 1522712 1577450 1802800 1903390 2253500 2523920 2664746 3045424 3154900 3806780 3943625 4507000 4758475 5329492 6309800 6661865 7613560 7887250 9014000 9516950 10658984 12619600 13323730 15227120 15774500 19033900 21317968 23792375 26647460 31549000 33309325 38067800 47584750 53294920 63098000 66618650 76135600 95169500 106589840 133237300 166546625 190339000 266474600 333093250 380678000 532949200 666186500 857857873 1332373000 1715715746 2664746000 3431431492 4289289365 6005005111 6862862984 8578578730 12010010222 13725725968 17157157460 21446446825 24020020444 30025025555 34314314920 42892893650 48040040888 60050051110 68628629840 85785787300 96080081776 107232234125 120100102220 150125127775 171571574600 214464468250 240200204440 300250255550 343143149200 428928936500 480400408880 600500511100 750625638875 857857873000 1201001022200 1501251277750 1715715746000 2402002044400 3002502555500 6005005111000 12010010222000