Search a number
-
+
12122201220 = 22351737321203
BaseRepresentation
bin10110100101000101…
…00001110010000100
31011021211001121220120
423102202201302010
5144311240414340
65322512501540
7606254003343
oct132242416204
934254047816
1012122201220
115160737218
12242384a8b0
1311b257c63c
1482dd4bb5a
154ae35d4d0
hex2d28a1c84

12122201220 has 96 divisors (see below), whose sum is σ = 36910194048. Its totient is φ = 2960197632.

The previous prime is 12122201213. The next prime is 12122201239. The reversal of 12122201220 is 2210222121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122862 + ... + 198341.

It is an arithmetic number, because the mean of its divisors is an integer number (384481188).

Almost surely, 212122201220 is an apocalyptic number.

12122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122201220 is an abundant number, since it is smaller than the sum of its proper divisors (24787992828).

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

12122201220 is a wasteful number, since it uses less digits than its factorization.

12122201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321269 (or 321267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122201220 its reverse (2210222121), we get a palindrome (14332423341).

The spelling of 12122201220 in words is "twelve billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 37740 321203 642406 963609 1284812 1606015 1927218 3212030 3854436 4818045 5460451 6424060 9636090 10920902 11884511 16381353 19272180 21841804 23769022 27302255 32762706 35653533 47538044 54604510 59422555 65525412 71307066 81906765 109209020 118845110 142614132 163813530 178267665 202036687 237690220 327627060 356535330 404073374 606110061 713070660 808146748 1010183435 1212220122 2020366870 2424440244 3030550305 4040733740 6061100610 12122201220