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12000210010110 = 2325745741680421
BaseRepresentation
bin1010111010100000010001…
…0000010011111111111110
31120111012122021020201111200
42232220010100103333332
53033102412230310420
641304453111200330
72345662251040620
oct256500420237776
946435567221450
1012000210010110
113907295784583
12141987a0760a6
136907cc07021a
142d6b55848c10
1515c2465a5b90
hexaea04413ffe

12000210010110 has 96 divisors (see below), whose sum is σ = 35735793492672. Its totient is φ = 2736903098880.

The previous prime is 12000210010081. The next prime is 12000210010193. The reversal of 12000210010110 is 1101001200021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000210010092 and 12000210010101.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 20552301 + ... + 21128120.

It is an arithmetic number, because the mean of its divisors is an integer number (372247848882).

Almost surely, 212000210010110 is an apocalyptic number.

12000210010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000210010110 is an abundant number, since it is smaller than the sum of its proper divisors (23735583482562).

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

12000210010110 is a wasteful number, since it uses less digits than its factorization.

12000210010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41680898 (or 41680895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000210010110 its reverse (1101001200021), we get a palindrome (13101211210131).

The spelling of 12000210010110 in words is "twelve trillion, two hundred ten million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 457 630 914 1371 2285 2742 3199 4113 4570 6398 6855 8226 9597 13710 15995 19194 20565 28791 31990 41130 47985 57582 95970 143955 287910 41680421 83360842 125041263 208402105 250082526 291762947 375123789 416804210 583525894 625206315 750247578 875288841 1250412630 1458814735 1750577682 1875618945 2625866523 2917629470 3751237890 4376444205 5251733046 8752888410 13129332615 19047952397 26258665230 38095904794 57143857191 95239761985 114287714382 133335666779 171431571573 190479523970 266671333558 285719285955 342863143146 400007000337 571438571910 666678333895 800014000674 857157857865 1200021001011 1333356667790 1714315715730 2000035001685 2400042002022 4000070003370 6000105005055 12000210010110