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12000202423400 = 23521710133484177
BaseRepresentation
bin1010111010100000001111…
…0011010111110001101000
31120111012121201222021111102
42232220003303113301220
53033102403310022100
641304452240420532
72345662126412132
oct256500363276150
946435551867442
1012000202423400
113907291472574
121419877617748
136907ca614c49
142d6b54832052
1515c245aa7cd5
hexaea03cd7c68

12000202423400 has 96 divisors (see below), whose sum is σ = 29570845838040. Its totient is φ = 4513262223360.

The previous prime is 12000202423361. The next prime is 12000202423457. The reversal of 12000202423400 is 432420200021.

12000202423400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 483912227044 + 11516290196356 = 695638^2 + 3393566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702112 + ... + 5186288.

Almost surely, 212000202423400 is an apocalyptic number.

12000202423400 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 12000202423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785422919020).

12000202423400 is an abundant number, since it is smaller than the sum of its proper divisors (17570643414640).

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

12000202423400 is a wasteful number, since it uses less digits than its factorization.

12000202423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485223 (or 3485214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12000202423400 its reverse (432420200021), we get a palindrome (12432622623421).

The spelling of 12000202423400 in words is "twelve trillion, two hundred two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1013 1700 2026 3400 4052 5065 8104 10130 17221 20260 25325 34442 40520 50650 68884 86105 101300 137768 172210 202600 344420 430525 688840 861050 1722100 3444200 3484177 6968354 13936708 17420885 27873416 34841770 59231009 69683540 87104425 118462018 139367080 174208850 236924036 296155045 348417700 473848072 592310090 696835400 1184620180 1480775225 2369240360 2961550450 3529471301 5923100900 7058942602 11846201800 14117885204 17647356505 28235770408 35294713010 60001012117 70589426020 88236782525 120002024234 141178852040 176473565050 240004048468 300005060585 352947130100 480008096936 600010121170 705894260200 1200020242340 1500025302925 2400040484680 3000050605850 6000101211700 12000202423400