Search a number
-
+
12122031341 = 741122934367
BaseRepresentation
bin10110100101000011…
…11000010011101101
31011021210201222212202
423102201320103231
5144311220000331
65322505111245
7606252365150
oct132241702355
934253658782
1012122031341
115160630622
122423788525
1311b2520214
1482dd05c97
154ae327ecb
hex2d28784ed

12122031341 has 16 divisors (see below), whose sum is σ = 14203607040. Its totient is φ = 10128347520.

The previous prime is 12122031319. The next prime is 12122031371. The reversal of 12122031341 is 14313022121.

12122031341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12122031341 - 222 = 12117837037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122031371) 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, 335540 + ... + 369906.

It is an arithmetic number, because the mean of its divisors is an integer number (887725440).

Almost surely, 212122031341 is an apocalyptic number.

It is an amenable number.

12122031341 is a deficient number, since it is larger than the sum of its proper divisors (2081575699).

12122031341 is a wasteful number, since it uses less digits than its factorization.

12122031341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35644.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12122031341 its reverse (14313022121), we get a palindrome (26435053462).

The spelling of 12122031341 in words is "twelve billion, one hundred twenty-two million, thirty-one thousand, three hundred forty-one".

Divisors: 1 7 41 287 1229 8603 34367 50389 240569 352723 1409047 9863329 42237043 295659301 1731718763 12122031341