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12216262660 = 22571492712161
BaseRepresentation
bin10110110000010010…
…10110000000000100
31011112101001102221121
423120021112000010
5200004330401120
65340112523324
7611505343060
oct133011260004
934471042847
1012216262660
1151a9841a48
12244b250544
1311c8bc40b4
1483c634aa0
154b773d5aa
hex2d8256004

12216262660 has 96 divisors (see below), whose sum is σ = 29638425600. Its totient is φ = 4143052800.

The previous prime is 12216262637. The next prime is 12216262691. The reversal of 12216262660 is 6626261221.

It is a super-2 number, since 2×122162626602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5651980 + ... + 5654140.

It is an arithmetic number, because the mean of its divisors is an integer number (308733600).

Almost surely, 212216262660 is an apocalyptic number.

12216262660 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 12216262660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819212800).

12216262660 is an abundant number, since it is smaller than the sum of its proper divisors (17422162940).

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

12216262660 is a wasteful number, since it uses less digits than its factorization.

12216262660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 12216262660 in words is "twelve billion, two hundred sixteen million, two hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 271 298 542 596 745 1043 1084 1355 1490 1897 2086 2161 2710 2980 3794 4172 4322 5215 5420 7588 8644 9485 10430 10805 15127 18970 20860 21610 30254 37940 40379 43220 60508 75635 80758 151270 161516 201895 282653 302540 321989 403790 565306 585631 643978 807580 1130612 1171262 1287956 1413265 1609945 2253923 2342524 2826530 2928155 3219890 4099417 4507846 5653060 5856310 6439780 8198834 9015692 11269615 11712620 16397668 20497085 22539230 40994170 45078460 81988340 87259019 174518038 349036076 436295095 610813133 872590190 1221626266 1745180380 2443252532 3054065665 6108131330 12216262660