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12220104224 = 25717373679
BaseRepresentation
bin10110110000101111…
…11111111000100000
31011112122021121120202
423120113333320200
5200011321313344
65340331124332
7611553113006
oct133027777040
934478247522
1012220104224
115200a26199
1224505a36a8
1311c993a803
1483cd54a76
154b7c4b94e
hex2d85ffe20

12220104224 has 48 divisors (see below), whose sum is σ = 24731723520. Its totient is φ = 5941393920.

The previous prime is 12220104223. The next prime is 12220104233. The reversal of 12220104224 is 42240102221.

It is a junction number, because it is equal to n+sod(n) for n = 12220104196 and 12220104205.

It is not an unprimeable number, because it can be changed into a prime (12220104223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129017 + ... + 202695.

It is an arithmetic number, because the mean of its divisors is an integer number (515244240).

Almost surely, 212220104224 is an apocalyptic number.

It is an amenable number.

12220104224 is an abundant number, since it is smaller than the sum of its proper divisors (12511619296).

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

12220104224 is an equidigital number, since it uses as much as digits as its factorization.

12220104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73833 (or 73825 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12220104224 its reverse (42240102221), we get a palindrome (54460206445).

The spelling of 12220104224 in words is "twelve billion, two hundred twenty million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 73 142 146 284 292 568 584 1136 1168 2272 2336 5183 10366 20732 41464 73679 82928 147358 165856 294716 589432 1178864 2357728 5231209 5378567 10462418 10757134 20924836 21514268 41849672 43028536 83699344 86057072 167398688 172114144 381878257 763756514 1527513028 3055026056 6110052112 12220104224