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12120222210 = 2353113819437
BaseRepresentation
bin10110100100110101…
…11110101000000010
31011021200100002012220
423102122332220002
5144310234102320
65322402231510
7606231121545
oct132232765002
934250302186
1012120222210
11515a605378
122423055596
1311b2038925
1482d99485c
154ae0bbe40
hex2d26bea02

12120222210 has 64 divisors (see below), whose sum is σ = 30051800064. Its totient is φ = 3125203200.

The previous prime is 12120222203. The next prime is 12120222259. The reversal of 12120222210 is 1222202121.

12120222210 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 12120222210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279612 + ... + 1289048.

It is an arithmetic number, because the mean of its divisors is an integer number (469559376).

Almost surely, 212120222210 is an apocalyptic number.

12120222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025900032).

12120222210 is an abundant number, since it is smaller than the sum of its proper divisors (17931577854).

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

12120222210 is a wasteful number, since it uses less digits than its factorization.

12120222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859.

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

Adding to 12120222210 its reverse (1222202121), we get a palindrome (13342424331).

The spelling of 12120222210 in words is "twelve billion, one hundred twenty million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1381 2762 4143 6905 8286 9437 13810 18874 20715 28311 41430 42811 47185 56622 85622 94370 128433 141555 214055 256866 283110 292547 428110 585094 642165 877641 1284330 1462735 1755282 2925470 4388205 8776410 13032497 26064994 39097491 65162485 78194982 130324970 195487455 390974910 404007407 808014814 1212022221 2020037035 2424044442 4040074070 6060111105 12120222210