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12122212110 = 235412271887
BaseRepresentation
bin10110100101000101…
…00100011100001110
31011021211002011211220
423102202210130032
5144311241241420
65322513024210
7606254050161
oct132242443416
934254064756
1012122212110
115160744418
122423855066
1311b2584598
1482dd51ad8
154ae361840
hex2d28a470e

12122212110 has 96 divisors (see below), whose sum is σ = 29963990016. Its totient is φ = 3138566400.

The previous prime is 12122212079. The next prime is 12122212127. The reversal of 12122212110 is 1121222121.

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 12122212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13666087 + ... + 13666973.

It is an arithmetic number, because the mean of its divisors is an integer number (312124896).

Almost surely, 212122212110 is an apocalyptic number.

12122212110 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 12122212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981995008).

12122212110 is an abundant number, since it is smaller than the sum of its proper divisors (17841777906).

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

12122212110 is a wasteful number, since it uses less digits than its factorization.

12122212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122212110 its reverse (1121222121), we get a palindrome (13243434231).

The spelling of 12122212110 in words is "twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 887 1230 1355 1626 1681 1774 2661 2710 3362 4065 4435 5043 5322 8130 8405 8870 10086 11111 13305 16810 22222 25215 26610 33333 36367 50430 55555 66666 72734 109101 111110 166665 181835 218202 240377 333330 363670 455551 480754 545505 721131 911102 1091010 1201885 1366653 1442262 1491047 2277755 2403770 2733306 2982094 3605655 4473141 4555510 6833265 7211310 7455235 8946282 9855457 13666530 14910470 19710914 22365705 29566371 44731410 49277285 59132742 98554570 147831855 295663710 404073737 808147474 1212221211 2020368685 2424442422 4040737370 6061106055 12122212110