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12010211202000 = 2435311181972897
BaseRepresentation
bin1010111011000101100001…
…0111110101001111010000
31120112011110021020220121010
42232301120113311033100
53033233403031431000
641313225335330520
72346465141545514
oct256613027651720
946464407226533
1012010211202000
113910558133020
12141b7ab520a40
1369173408704b
142d7423bdc144
1515c62e5ebd50
hexaec585f53d0

12010211202000 has 160 divisors (see below), whose sum is σ = 42241004866944. Its totient is φ = 2911566336000.

The previous prime is 12010211201959. The next prime is 12010211202029. The reversal of 12010211202000 is 20211201021.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90920449 + ... + 91052448.

Almost surely, 212010211202000 is an apocalyptic number.

12010211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010211202000 is an abundant number, since it is smaller than the sum of its proper divisors (30230793664944).

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

12010211202000 is a wasteful number, since it uses less digits than its factorization.

12010211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181972934 (or 181972918 counting only the distinct ones).

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

Adding to 12010211202000 its reverse (20211201021), we get a palindrome (12030422403021).

The spelling of 12010211202000 in words is "twelve trillion, ten billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 181972897 363945794 545918691 727891588 909864485 1091837382 1455783176 1819728970 2001701867 2183674764 2729593455 2911566352 3639457940 4003403734 4367349528 4549322425 5459186910 6005105601 7278915880 8006807468 8734699056 9098644850 10008509335 10918373820 12010211202 13647967275 14557831760 16013614936 18197289700 20017018670 21836747640 22746612125 24020422404 27295934550 30025528005 32027229872 36394579400 40034037340 43673495280 45493224250 48040844808 50042546675 54591869100 60051056010 68239836375 72789158800 80068074680 90986448500 96081689616 100085093350 109183738200 120102112020 136479672750 150127640025 160136149360 181972897000 200170186700 218367476400 240204224040 250212733375 272959345500 300255280050 363945794000 400340373400 480408448080 500425466750 545918691000 600510560100 750638200125 800680746800 1000850933500 1091837382000 1201021120200 1501276400250 2001701867000 2402042240400 3002552800500 4003403734000 6005105601000 12010211202000