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12172848000 = 27353253601
BaseRepresentation
bin10110101011000111…
…01110101110000000
31011102100100202020020
423111203232232000
5144412222114000
65331522213440
7610440333525
oct132543565600
934370322206
1012172848000
115187289965
1224387b4280
1311bcc03251
1483697314c
154b3a14ba0
hex2d58eeb80

12172848000 has 128 divisors (see below), whose sum is σ = 40353150240. Its totient is φ = 3246080000.

The previous prime is 12172847993. The next prime is 12172848001. The reversal of 12172848000 is 84827121.

It is a happy number.

12172848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×121728480002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12172848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78801 + ... + 174800.

Almost surely, 212172848000 is an apocalyptic number.

12172848000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12172848000 is an abundant number, since it is smaller than the sum of its proper divisors (28180302240).

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

12172848000 is an equidigital number, since it uses as much as digits as its factorization.

12172848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253633 (or 253611 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 12172848000 in words is "twelve billion, one hundred seventy-two million, eight hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 253601 507202 760803 1014404 1268005 1521606 2028808 2536010 3043212 3804015 4057616 5072020 6086424 6340025 7608030 8115232 10144040 12172848 12680050 15216060 16230464 19020075 20288080 24345696 25360100 30432120 31700125 32460928 38040150 40576160 48691392 50720200 60864240 63400250 76080300 81152320 95100375 97382784 101440400 121728480 126800500 152160600 162304640 190200750 202880800 243456960 253601000 304321200 380401500 405761600 486913920 507202000 608642400 760803000 811523200 1014404000 1217284800 1521606000 2028808000 2434569600 3043212000 4057616000 6086424000 12172848000