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12073272000 = 26353503053
BaseRepresentation
bin10110011111001111…
…11000001011000000
31011011101222202122020
423033213320023000
5144211224201000
65314004041440
7605121055506
oct131747701300
934141882566
1012073272000
115136057a49
12240b393280
1311a53aa73a
14827652676
154a9de5ba0
hex2cf9f82c0

12073272000 has 112 divisors (see below), whose sum is σ = 39866023392. Its totient is φ = 3219532800.

The previous prime is 12073271953. The next prime is 12073272017. The reversal of 12073272000 is 27237021.

12073272000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 227527 + ... + 275526.

Almost surely, 212073272000 is an apocalyptic number.

12073272000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12073272000 is an abundant number, since it is smaller than the sum of its proper divisors (27792751392).

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

12073272000 is an equidigital number, since it uses as much as digits as its factorization.

12073272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503083 (or 503063 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The spelling of 12073272000 in words is "twelve billion, seventy-three million, two hundred seventy-two 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 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 503053 1006106 1509159 2012212 2515265 3018318 4024424 5030530 6036636 7545795 8048848 10061060 12073272 12576325 15091590 16097696 20122120 24146544 25152650 30183180 32195392 37728975 40244240 48293088 50305300 60366360 62881625 75457950 80488480 96586176 100610600 120732720 125763250 150915900 160976960 188644875 201221200 241465440 251526500 301831800 377289750 402442400 482930880 503053000 603663600 754579500 804884800 1006106000 1207327200 1509159000 2012212000 2414654400 3018318000 4024424000 6036636000 12073272000