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12010102020210 = 2357595991618261
BaseRepresentation
bin1010111011000101000111…
…0111010101100001110010
31120112011011122210220100010
42232301101313111201302
53033233142104121320
641313210435235350
72346462344532330
oct256612167254162
946464148726303
1012010102020210
113910501540138
12141b77aa48b56
1369171757a238
142d74134dab50
1515c624c31ae0
hexaec51dd5872

12010102020210 has 128 divisors (see below), whose sum is σ = 33556280832000. Its totient is φ = 2694131032320.

The previous prime is 12010102020073. The next prime is 12010102020223. The reversal of 12010102020210 is 1202020101021.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6612480 + ... + 8230740.

It is an arithmetic number, because the mean of its divisors is an integer number (262158444000).

Almost surely, 212010102020210 is an apocalyptic number.

12010102020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010102020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778140416000).

12010102020210 is an abundant number, since it is smaller than the sum of its proper divisors (21546178811790).

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

12010102020210 is a wasteful number, since it uses less digits than its factorization.

12010102020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618936.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010102020210 its reverse (1202020101021), we get a palindrome (13212122121231).

The spelling of 12010102020210 in words is "twelve trillion, ten billion, one hundred two million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 599 826 885 1198 1239 1770 1797 2065 2478 2995 3594 4130 4193 5990 6195 8386 8985 12390 12579 17970 20965 25158 35341 41930 62895 70682 106023 125790 176705 212046 247387 353410 494774 530115 742161 1060230 1236935 1484322 1618261 2473870 3236522 3710805 4854783 7421610 8091305 9709566 11327827 16182610 22655654 24273915 33983481 48547830 56639135 67966962 95477399 113278270 169917405 190954798 286432197 339834810 477386995 572864394 668341793 954773990 969338339 1336683586 1432160985 1938676678 2005025379 2864321970 2908015017 3341708965 4010050758 4846691695 5816030034 6683417930 6785368373 9693383390 10025126895 13570736746 14540075085 20050253790 20356105119 29080150170 33926841865 40712210238 57190962001 67853683730 101780525595 114381924002 171572886003 203561051190 285954810005 343145772006 400336734007 571909620010 800673468014 857864430015 1201010202021 1715728860030 2001683670035 2402020404042 4003367340070 6005051010105 12010102020210