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12014415620620 = 22572271201314779
BaseRepresentation
bin1010111011010101001011…
…1110011010101000001100
31120112120022021121111200021
42232311102332122220030
53033321010344324440
641315202450511524
72350004263531660
oct256652276325014
946476267544607
1012014415620620
113912315447a56
1214205835955a4
13691c5414c00a
142d77023648a0
1515c7c87a084a
hexaed52f9aa0c

12014415620620 has 96 divisors (see below), whose sum is σ = 28985828820480. Its totient is φ = 4097654092800.

The previous prime is 12014415620539. The next prime is 12014415620639. The reversal of 12014415620620 is 2602651441021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38010391 + ... + 38325169.

It is an arithmetic number, because the mean of its divisors is an integer number (301935716880).

Almost surely, 212014415620620 is an apocalyptic number.

12014415620620 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 12014415620620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492914410240).

12014415620620 is an abundant number, since it is smaller than the sum of its proper divisors (16971413199860).

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

12014415620620 is a wasteful number, since it uses less digits than its factorization.

12014415620620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316223 (or 316221 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 12014415620620 in words is "twelve trillion, fourteen billion, four hundred fifteen million, six hundred twenty thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1201 1589 2270 2402 3178 4540 4804 6005 6356 7945 8407 12010 15890 16814 24020 31780 33628 42035 84070 168140 272627 314779 545254 629558 1090508 1259116 1363135 1573895 1908389 2203453 2726270 3147790 3816778 4406906 5452540 6295580 7633556 8813812 9541945 11017265 19083890 22034530 38167780 44069060 71454833 142909666 285819332 357274165 378049579 500183831 714548330 756099158 1000367662 1429096660 1512198316 1890247895 2000735324 2500919155 2646347053 3780495790 5001838310 5292694106 7560991580 10003676620 10585388212 13231735265 26463470530 52926941060 85817254433 171634508866 343269017732 429086272165 600720781031 858172544330 1201441562062 1716345088660 2402883124124 3003603905155 6007207810310 12014415620620