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12000444000 = 253531000037
BaseRepresentation
bin10110010110100100…
…00011111001100000
31010222022221201101220
423023102003321200
5144034103202000
65302443055040
7603245043126
oct131322037140
933868851356
1012000444000
1150a8a35216
1223aab11480
13119328b94c
1481bad5916
154a380c1a0
hex2cb483e60

12000444000 has 96 divisors (see below), whose sum is σ = 39313493856. Its totient is φ = 3200115200.

The previous prime is 12000443971. The next prime is 12000444019. The reversal of 12000444000 is 44400021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

12000444000 is a modest number, since divided by 444000 gives 12000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488019 + ... + 512018.

It is an arithmetic number, because the mean of its divisors is an integer number (409515561).

Almost surely, 212000444000 is an apocalyptic number.

12000444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000444000 is an abundant number, since it is smaller than the sum of its proper divisors (27313049856).

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

12000444000 is a wasteful number, since it uses less digits than its factorization.

12000444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000065 (or 1000047 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12000444000 its reverse (44400021), we get a palindrome (12044844021).

The spelling of 12000444000 in words is "twelve billion, four hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1000037 2000074 3000111 4000148 5000185 6000222 8000296 10000370 12000444 15000555 16000592 20000740 24000888 25000925 30001110 32001184 40001480 48001776 50001850 60002220 75002775 80002960 96003552 100003700 120004440 125004625 150005550 160005920 200007400 240008880 250009250 300011100 375013875 400014800 480017760 500018500 600022200 750027750 800029600 1000037000 1200044400 1500055500 2000074000 2400088800 3000111000 4000148000 6000222000 12000444000