Search a number
-
+
12121022121 = 3131085928621
BaseRepresentation
bin10110100100111100…
…00001111010101001
31011021201211201111020
423102132001322221
5144310440201441
65322431323053
7606240662625
oct132236017251
934251751436
1012121022121
11516000135a
122423380489
1311b2258a50
1482db22185
154ae1c8e66
hex2d2781ea9

12121022121 has 16 divisors (see below), whose sum is σ = 17406755520. Its totient is φ = 7458143040.

The previous prime is 12121022119. The next prime is 12121022131. The reversal of 12121022121 is 12122012121.

12121022121 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 12121022121 - 21 = 12121022119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121022121.

It is not an unprimeable number, because it can be changed into a prime (12121022101) 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, 409191 + ... + 437811.

It is an arithmetic number, because the mean of its divisors is an integer number (1087922220).

Almost surely, 212121022121 is an apocalyptic number.

It is an amenable number.

12121022121 is a deficient number, since it is larger than the sum of its proper divisors (5285733399).

12121022121 is a wasteful number, since it uses less digits than its factorization.

12121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39496.

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

Adding to 12121022121 its reverse (12122012121), we get a palindrome (24243034242).

The spelling of 12121022121 in words is "twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 13 39 10859 28621 32577 85863 141167 372073 423501 1116219 310795439 932386317 4040340707 12121022121