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12130000000 = 27571213
BaseRepresentation
bin10110100110000000…
…10001110010000000
31011022100201211211021
423103000101302000
5144320240000000
65323351555224
7606410204326
oct132300216200
934270654737
1012130000000
115165083598
12242638bb14
1311b40802c1
14830dbbd16
154aed9e11a
hex2d3011c80

12130000000 has 128 divisors (see below), whose sum is σ = 30231367920. Its totient is φ = 4848000000.

The previous prime is 12129999979. The next prime is 12130000009. The reversal of 12130000000 is 3121.

It can be written as a sum of positive squares in 8 ways, for example, as 12129938496 + 61504 = 110136^2 + 248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12130000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999394 + ... + 10000606.

Almost surely, 212130000000 is an apocalyptic number.

12130000000 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 12130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115683960).

12130000000 is an abundant number, since it is smaller than the sum of its proper divisors (18101367920).

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

12130000000 is an frugal number, since it uses more digits than its factorization.

12130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 12130000000 its reverse (3121), we get a palindrome (12130003121).

The spelling of 12130000000 in words is "twelve billion, one hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1213 1250 1600 2000 2426 2500 3125 3200 4000 4852 5000 6065 6250 8000 9704 10000 12130 12500 15625 16000 19408 20000 24260 25000 30325 31250 38816 40000 48520 50000 60650 62500 77632 78125 80000 97040 100000 121300 125000 151625 155264 156250 194080 200000 242600 250000 303250 312500 388160 400000 485200 500000 606500 625000 758125 776320 970400 1000000 1213000 1250000 1516250 1940800 2000000 2426000 2500000 3032500 3790625 3881600 4852000 5000000 6065000 7581250 9704000 10000000 12130000 15162500 18953125 19408000 24260000 30325000 37906250 48520000 60650000 75812500 94765625 97040000 121300000 151625000 189531250 242600000 303250000 379062500 485200000 606500000 758125000 1213000000 1516250000 2426000000 3032500000 6065000000 12130000000