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12287247220 = 22523297112973
BaseRepresentation
bin10110111000110000…
…01000001101110100
31011201022121211110101
423130120020031310
5200131013402340
65351130203444
7613326610123
oct133430101564
934638554411
1012287247220
115235915776
12246ab83584
13120a818ab1
14847c31aba
154bdab0c9a
hex2dc608374

12287247220 has 96 divisors (see below), whose sum is σ = 28248030720. Its totient is φ = 4474821120.

The previous prime is 12287247187. The next prime is 12287247221. The reversal of 12287247220 is 2274278221.

It is a self number, because there is not a number n which added to its sum of digits gives 12287247220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287247221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940654 + ... + 953626.

It is an arithmetic number, because the mean of its divisors is an integer number (294250320).

Almost surely, 212287247220 is an apocalyptic number.

12287247220 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 12287247220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124015360).

12287247220 is an abundant number, since it is smaller than the sum of its proper divisors (15960783500).

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

12287247220 is a wasteful number, since it uses less digits than its factorization.

12287247220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The spelling of 12287247220 in words is "twelve billion, two hundred eighty-seven million, two hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 71 92 115 116 142 145 230 284 290 355 460 580 667 710 1334 1420 1633 2059 2668 3266 3335 4118 6532 6670 8165 8236 10295 12973 13340 16330 20590 25946 32660 41180 47357 51892 64865 94714 129730 189428 236785 259460 298379 376217 473570 596758 752434 921083 947140 1193516 1491895 1504868 1842166 1881085 2983790 3684332 3762170 4605415 5967580 7524340 8652991 9210830 17305982 18421660 21184909 26711407 34611964 42369818 43264955 53422814 84739636 86529910 105924545 106845628 133557035 173059820 211849090 267114070 423698180 534228140 614362361 1228724722 2457449444 3071811805 6143623610 12287247220