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12122221110 = 23517151157411
BaseRepresentation
bin10110100101000101…
…00110101000110110
31011021211002122012020
423102202212220312
5144311242033420
65322513134010
7606254115336
oct132242465066
934254078166
1012122221110
11516075015a
12242385a306
1311b25886cc
1482dd550c6
154ae364340
hex2d28a6a36

12122221110 has 64 divisors (see below), whose sum is σ = 31008904704. Its totient is φ = 3022272000.

The previous prime is 12122221063. The next prime is 12122221147. The reversal of 12122221110 is 1112222121.

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 12122221110.

It is a congruent number.

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, 1696 + ... + 155715.

It is an arithmetic number, because the mean of its divisors is an integer number (484514136).

Almost surely, 212122221110 is an apocalyptic number.

12122221110 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 12122221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504452352).

12122221110 is an abundant number, since it is smaller than the sum of its proper divisors (18886683594).

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

12122221110 is a wasteful number, since it uses less digits than its factorization.

12122221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157589.

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

Adding to 12122221110 its reverse (1112222121), we get a palindrome (13234443231).

The spelling of 12122221110 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 151 170 255 302 453 510 755 906 1510 2265 2567 4530 5134 7701 12835 15402 25670 38505 77010 157411 314822 472233 787055 944466 1574110 2361165 2675987 4722330 5351974 8027961 13379935 16055922 23769061 26759870 40139805 47538122 71307183 80279610 118845305 142614366 237690610 356535915 404074037 713071830 808148074 1212222111 2020370185 2424444222 4040740370 6061110555 12122221110