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12340334021000 = 2353311812199311
BaseRepresentation
bin1011001110010011010100…
…1110011100100110001000
31121200201120002120200201012
42303210311032130212020
53104141001002133000
642125023213143052
72412362660321666
oct263446516344610
947621502520635
1012340334021000
113a28562930057
121473780a8aa88
136b68c4850abb
143093bd7d9c36
15166001595735
hexb393539c988

12340334021000 has 128 divisors (see below), whose sum is σ = 29972575825920. Its totient is φ = 4750509600000.

The previous prime is 12340334020999. The next prime is 12340334021011. The reversal of 12340334021000 is 12043304321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4511345 + ... + 6710655.

It is an arithmetic number, because the mean of its divisors is an integer number (234160748640).

Almost surely, 212340334021000 is an apocalyptic number.

12340334021000 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 12340334021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986287912960).

12340334021000 is an abundant number, since it is smaller than the sum of its proper divisors (17632241804920).

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

12340334021000 is a wasteful number, since it uses less digits than its factorization.

12340334021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199544 (or 2199530 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12340334021000 its reverse (12043304321), we get a palindrome (12352377325321).

The spelling of 12340334021000 in words is "twelve trillion, three hundred forty billion, three hundred thirty-four million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 181 200 248 250 310 362 500 620 724 775 905 1000 1240 1448 1550 1810 3100 3620 3875 4525 5611 6200 7240 7750 9050 11222 15500 18100 22444 22625 28055 31000 36200 44888 45250 56110 90500 112220 140275 181000 224440 280550 561100 701375 1122200 1402750 2199311 2805500 4398622 5611000 8797244 10996555 17594488 21993110 43986220 54982775 68178641 87972440 109965550 136357282 219931100 272714564 274913875 340893205 398075291 439862200 545429128 549827750 681786410 796150582 1099655500 1363572820 1592301164 1704466025 1990376455 2199311000 2727145640 3184602328 3408932050 3980752910 6817864100 7961505820 8522330125 9951882275 12340334021 13635728200 15923011640 17044660250 19903764550 24680668042 34089320500 39807529100 49361336084 49759411375 61701670105 68178641000 79615058200 98722672168 99518822750 123403340210 199037645500 246806680420 308508350525 398075291000 493613360840 617016701050 1234033402100 1542541752625 2468066804200 3085083505250 6170167010500 12340334021000