Search a number
-
+
12122210121 = 371930381479
BaseRepresentation
bin10110100101000101…
…00011111101001001
31011021211002002010020
423102202203331021
5144311241210441
65322513011053
7606254041320
oct132242437511
934254062106
1012122210121
11516074297a
122423853a89
1311b25836c8
1482dd510b7
154ae360e66
hex2d28a3f49

12122210121 has 16 divisors (see below), whose sum is σ = 19444147200. Its totient is φ = 6562399248.

The previous prime is 12122210119. The next prime is 12122210131. The reversal of 12122210121 is 12101222121.

12122210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122210121 - 21 = 12122210119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122210121.

It is not an unprimeable number, because it can be changed into a prime (12122210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15190341 + ... + 15191138.

It is an arithmetic number, because the mean of its divisors is an integer number (1215259200).

Almost surely, 212122210121 is an apocalyptic number.

It is an amenable number.

12122210121 is a deficient number, since it is larger than the sum of its proper divisors (7321937079).

12122210121 is a wasteful number, since it uses less digits than its factorization.

12122210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381508.

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

Adding to 12122210121 its reverse (12101222121), we get a palindrome (24223432242).

The spelling of 12122210121 in words is "twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 30381479 91144437 212670353 577248101 638011059 1731744303 4040736707 12122210121