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12045402000 = 243353223063
BaseRepresentation
bin10110011011111011…
…00011111110010000
31011002110112211012000
423031331203332100
5144132110331000
65311130434000
7604332141042
oct131575437620
934073484160
1012045402000
115121351895
122401b92900
13119c6a0108
14823a79a92
154a773d000
hex2cdf63f90

12045402000 has 160 divisors (see below), whose sum is σ = 43149500160. Its totient is φ = 3212092800.

The previous prime is 12045401989. The next prime is 12045402001. The reversal of 12045402000 is 20454021.

12045402000 is a `hidden beast` number, since 12 + 0 + 454 + 0 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12045402001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57532 + ... + 165531.

It is an arithmetic number, because the mean of its divisors is an integer number (269684376).

Almost surely, 212045402000 is an apocalyptic number.

12045402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12045402000 is an abundant number, since it is smaller than the sum of its proper divisors (31104098160).

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

12045402000 is a wasteful number, since it uses less digits than its factorization.

12045402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223095 (or 223073 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12045402000 its reverse (20454021), we get a palindrome (12065856021).

The spelling of 12045402000 in words is "twelve billion, forty-five million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 223063 446126 669189 892252 1115315 1338378 1784504 2007567 2230630 2676756 3345945 3569008 4015134 4461260 5353512 5576575 6022701 6691890 8030268 8922520 10037835 10707024 11153150 12045402 13383780 16060536 16729725 17845040 20075670 22306300 24090804 26767560 27882875 30113505 32121072 33459450 40151340 44612600 48181608 50189175 53535120 55765750 60227010 66918900 80302680 83648625 89225200 96363216 100378350 111531500 120454020 133837800 150567525 160605360 167297250 200756700 223063000 240908040 250945875 267675600 301135050 334594500 401513400 446126000 481816080 501891750 602270100 669189000 752837625 803026800 1003783500 1204540200 1338378000 1505675250 2007567000 2409080400 3011350500 4015134000 6022701000 12045402000