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12433121201200 = 245274440400429
BaseRepresentation
bin1011010011101100111111…
…0001011100110000110000
31122000121001121000211021211
42310323033301130300300
53112201013011414300
642235410320325504
72422156222331230
oct264731761346060
948017047024254
1012433121201200
113a63947872957
121489757173894
136c2590c3211b
1430daa2941cc0
151686324784ba
hexb4ecfc5cc30

12433121201200 has 60 divisors (see below), whose sum is σ = 34137798505840. Its totient is φ = 4262784410880.

The previous prime is 12433121201183. The next prime is 12433121201219. The reversal of 12433121201200 is 210212133421.

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 11 ways as a sum of consecutive naturals, for example, 2220197415 + ... + 2220203014.

Almost surely, 212433121201200 is an apocalyptic number.

12433121201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433121201200 is an abundant number, since it is smaller than the sum of its proper divisors (21704677304640).

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

12433121201200 is a wasteful number, since it uses less digits than its factorization.

12433121201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440400454 (or 4440400443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12433121201200 its reverse (210212133421), we get a palindrome (12643333334621).

The spelling of 12433121201200 in words is "twelve trillion, four hundred thirty-three billion, one hundred twenty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4440400429 8880800858 17761601716 22202002145 31082803003 35523203432 44404004290 62165606006 71046406864 88808008580 111010010725 124331212012 155414015015 177616017160 222020021450 248662424024 310828030030 355232034320 444040042900 497324848048 621656060060 777070075075 888080085800 1243312120120 1554140150150 1776160171600 2486624240240 3108280300300 6216560600600 12433121201200