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12001300000 = 2555432791
BaseRepresentation
bin10110010110101010…
…10100111000100000
31010222101120012121121
423023111110320200
5144034313100000
65302513302024
7603255236554
oct131325247040
933871505547
1012001300000
1150a946a358
1223ab264914
1311934cb461
1481bc79864
154a392ab1a
hex2cb554e20

12001300000 has 144 divisors (see below), whose sum is σ = 30230190144. Its totient is φ = 4687200000.

The previous prime is 12001299977. The next prime is 12001300039. The reversal of 12001300000 is 310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4298605 + ... + 4301395.

It is an arithmetic number, because the mean of its divisors is an integer number (209931876).

Almost surely, 212001300000 is an apocalyptic number.

12001300000 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 12001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115095072).

12001300000 is an abundant number, since it is smaller than the sum of its proper divisors (18228890144).

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

12001300000 is an frugal number, since it uses more digits than its factorization.

12001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2841 counting only the distinct ones).

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

Adding to 12001300000 its reverse (310021), we get a palindrome (12001610021).

The spelling of 12001300000 in words is "twelve billion, one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 2791 3125 3440 4000 4300 5000 5375 5582 6250 6880 8600 10000 10750 11164 12500 13955 17200 20000 21500 22328 25000 26875 27910 34400 43000 44656 50000 53750 55820 69775 86000 89312 100000 107500 111640 120013 134375 139550 172000 215000 223280 240026 268750 279100 348875 430000 446560 480052 537500 558200 600065 697750 860000 960104 1075000 1116400 1200130 1395500 1744375 1920208 2150000 2232800 2400260 2791000 3000325 3488750 3840416 4300000 4800520 5582000 6000650 6977500 8721875 9601040 11164000 12001300 13955000 15001625 17443750 19202080 24002600 27910000 30003250 34887500 48005200 55820000 60006500 69775000 75008125 96010400 120013000 139550000 150016250 240026000 279100000 300032500 375040625 480052000 600065000 750081250 1200130000 1500162500 2400260000 3000325000 6000650000 12001300000