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12323504000 = 27531745307
BaseRepresentation
bin10110111101000100…
…11011111110000000
31011210211211212102002
423132202123332000
5200214304112000
65354503243132
7614250025043
oct133642337600
934724755362
1012323504000
115254329a55
12247b1494a8
1312151a1902
1484c98cc5a
154c1d738d5
hex2de89bf80

12323504000 has 128 divisors (see below), whose sum is σ = 32442340320. Its totient is φ = 4639334400.

The previous prime is 12323503963. The next prime is 12323504041. The reversal of 12323504000 is 40532321.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 249347 + ... + 294653.

Almost surely, 212323504000 is an apocalyptic number.

12323504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221170160).

12323504000 is an abundant number, since it is smaller than the sum of its proper divisors (20118836320).

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

12323504000 is an equidigital number, since it uses as much as digits as its factorization.

12323504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45353 (or 45331 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 12323504000 in words is "twelve billion, three hundred twenty-three million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 5440 6800 8000 8500 10880 13600 16000 17000 27200 34000 45307 54400 68000 90614 136000 181228 226535 272000 362456 453070 724912 770219 906140 1132675 1449824 1540438 1812280 2265350 2899648 3080876 3624560 3851095 4530700 5663375 5799296 6161752 7249120 7702190 9061400 11326750 12323504 14498240 15404380 18122800 19255475 22653500 24647008 28996480 30808760 36245600 38510950 45307000 49294016 61617520 72491200 77021900 90614000 96277375 98588032 123235040 144982400 154043800 181228000 192554750 246470080 308087600 362456000 385109500 492940160 616175200 724912000 770219000 1232350400 1540438000 2464700800 3080876000 6161752000 12323504000