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12000130320 = 243571704233
BaseRepresentation
bin10110010110100001…
…10111010100010000
31010222022100210010010
423023100313110100
5144034013132240
65302432234520
7603242265453
oct131320672420
933868323103
1012000130320
1150a8840582
1223aa99ba40
1311931abc39
1481ba5349a
154a3799280
hex2cb437510

12000130320 has 80 divisors (see below), whose sum is σ = 37724406912. Its totient is φ = 3154959360.

The previous prime is 12000130319. The next prime is 12000130321. The reversal of 12000130320 is 2303100021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000130319) and next prime (12000130321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12000130296 and 12000130305.

It is not an unprimeable number, because it can be changed into a prime (12000130321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335077 + ... + 369156.

Almost surely, 212000130320 is an apocalyptic number.

12000130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000130320 is an abundant number, since it is smaller than the sum of its proper divisors (25724276592).

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

12000130320 is a wasteful number, since it uses less digits than its factorization.

12000130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704320 (or 704314 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12000130320 its reverse (2303100021), we get a palindrome (14303230341).

The spelling of 12000130320 in words is "twelve billion, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 704233 1408466 2112699 2816932 3521165 4225398 5633864 7042330 8450796 10563495 11267728 14084660 16901592 21126990 28169320 33803184 42253980 50000543 56338640 84507960 100001086 150001629 169015920 200002172 250002715 300003258 400004344 500005430 600006516 750008145 800008688 1000010860 1200013032 1500016290 2000021720 2400026064 3000032580 4000043440 6000065160 12000130320