Search a number
-
+
12122220 = 22351118367
BaseRepresentation
bin101110001111…
…100001101100
3211210212120010
4232033201230
511100402340
61111453220
7205015515
oct56174154
924725503
1012122220
11692a670
124087210
132685816
141877a0c
1510e6b80
hexb8f86c

12122220 has 48 divisors (see below), whose sum is σ = 37029888. Its totient is φ = 2938560.

The previous prime is 12122191. The next prime is 12122221. The reversal of 12122220 is 2222121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12122196 and 12122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8524 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (771456).

Almost surely, 212122220 is an apocalyptic number.

12122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122220 is an abundant number, since it is smaller than the sum of its proper divisors (24907668).

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

12122220 is a wasteful number, since it uses less digits than its factorization.

12122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18390 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12122220 is about 3481.6978616761. The cubic root of 12122220 is about 229.7174855109.

Adding to 12122220 its reverse (2222121), we get a palindrome (14344341).

Subtracting from 12122220 its reverse (2222121), we obtain a palindrome (9900099).

The spelling of 12122220 in words is "twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18367 36734 55101 73468 91835 110202 183670 202037 220404 275505 367340 404074 551010 606111 808148 1010185 1102020 1212222 2020370 2424444 3030555 4040740 6061110 12122220