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12412432042010 = 25711131997620933
BaseRepresentation
bin1011010010011111111010…
…0110100100100000011010
31121221121122201201122100122
42310213332212210200122
53111331130100321020
642222105332033242
72420524431353660
oct264477646444032
947847581648318
1012412432042010
113a560a0329390
121485742462822
136c06448425b0
1430ca9cd04c30
15167d20e7c125
hexb49fe9a481a

12412432042010 has 128 divisors (see below), whose sum is σ = 30013227385344. Its totient is φ = 3569415183360.

The previous prime is 12412432042009. The next prime is 12412432042019. The reversal of 12412432042010 is 1024023421421.

12412432042010 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 (26).

It is not an unprimeable number, because it can be changed into a prime (12412432042019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19679504 + ... + 20300436.

It is an arithmetic number, because the mean of its divisors is an integer number (234478338948).

Almost surely, 212412432042010 is an apocalyptic number.

12412432042010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12412432042010 is an abundant number, since it is smaller than the sum of its proper divisors (17600795343334).

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

12412432042010 is a wasteful number, since it uses less digits than its factorization.

12412432042010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622968.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12412432042010 its reverse (1024023421421), we get a palindrome (13436455463431).

The spelling of 12412432042010 in words is "twelve trillion, four hundred twelve billion, four hundred thirty-two million, forty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 1997 2002 3994 5005 9985 10010 13979 19970 21967 25961 27958 43934 51922 69895 109835 129805 139790 153769 181727 219670 259610 285571 307538 363454 571142 620933 768845 908635 1241866 1427855 1537690 1817270 1998997 2855710 3104665 3997994 4346531 6209330 6830263 8072129 8693062 9994985 13660526 16144258 19989970 21732655 34151315 40360645 43465310 47811841 56504903 68302630 80721290 88793419 95623682 113009806 177586838 239059205 282524515 443967095 478118410 565049030 621553933 887934190 1240003201 1243107866 2480006402 3107769665 6200016005 6215539330 8680022407 12400032010 13640035211 16120041613 17360044814 27280070422 32240083226 43400112035 68200176055 80600208065 86800224070 95480246477 112840291291 136400352110 161200416130 177320457743 190960492954 225680582582 354640915486 477401232385 564201456455 886602288715 954802464770 1128402912910 1241243204201 1773204577430 2482486408402 6206216021005 12412432042010