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12120012000 = 253253336667
BaseRepresentation
bin10110100100110100…
…01011010011100000
31011021122221101212100
423102122023103200
5144310210341000
65322353530400
7606226254645
oct132232132340
934248841770
1012120012000
11515a481448
122422b73a00
1311b1c94045
1482d93bdcc
154ae079a00
hex2d268b4e0

12120012000 has 144 divisors (see below), whose sum is σ = 43014050352. Its totient is φ = 3231993600.

The previous prime is 12120011993. The next prime is 12120012043. The reversal of 12120012000 is 21002121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 132334 + ... + 204333.

It is an arithmetic number, because the mean of its divisors is an integer number (298708683).

Almost surely, 212120012000 is an apocalyptic number.

12120012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120012000 is an abundant number, since it is smaller than the sum of its proper divisors (30894038352).

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

12120012000 is a wasteful number, since it uses less digits than its factorization.

12120012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336698 (or 336677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12120012000 its reverse (21002121), we get a palindrome (12141014121).

The spelling of 12120012000 in words is "twelve billion, one hundred twenty million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 336667 673334 1010001 1346668 1683335 2020002 2693336 3030003 3366670 4040004 5050005 5386672 6060006 6733340 8080008 8416675 10100010 10773344 12120012 13466680 15150015 16160016 16833350 20200020 24240024 25250025 26933360 30300030 32320032 33666700 40400040 42083375 48480048 50500050 53866720 60600060 67333400 75750075 80800080 84166750 96960096 101000100 121200120 126250125 134666800 151500150 161600160 168333500 202000200 242400240 252500250 269333600 303000300 336667000 378750375 404000400 484800480 505000500 606000600 673334000 757500750 808000800 1010001000 1212001200 1346668000 1515001500 2020002000 2424002400 3030003000 4040004000 6060006000 12120012000