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12226665216 = 28319738069
BaseRepresentation
bin10110110001100010…
…00001101100000000
31011120002121221120110
423120301001230000
5200020011241331
65341123511320
7611662640163
oct133061015400
934502557513
1012226665216
1152046a75a7
122452828540
1311cb0c6c5c
1483db81ada
154b85e5946
hex2d8c41b00

12226665216 has 72 divisors (see below), whose sum is σ = 32561287920. Its totient is φ = 4072984576.

The previous prime is 12226665173. The next prime is 12226665257. The reversal of 12226665216 is 61256662221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1511230 + ... + 1519298.

It is an arithmetic number, because the mean of its divisors is an integer number (452240110).

Almost surely, 212226665216 is an apocalyptic number.

12226665216 is a gapful number since it is divisible by the number (16) 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 12226665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16280643960).

12226665216 is an abundant number, since it is smaller than the sum of its proper divisors (20334622704).

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

12226665216 is an equidigital number, since it uses as much as digits as its factorization.

12226665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10047 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 12226665216 in words is "twelve billion, two hundred twenty-six million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1973 3946 5919 7892 8069 11838 15784 16138 23676 24207 31568 32276 47352 48414 63136 64552 94704 96828 126272 129104 189408 193656 252544 258208 378816 387312 505088 516416 757632 774624 1032832 1515264 1549248 2065664 3098496 6196992 15920137 31840274 47760411 63680548 95520822 127361096 191041644 254722192 382083288 509444384 764166576 1018888768 1528333152 2037777536 3056666304 4075555072 6113332608 12226665216