Search a number
-
+
12214441221 = 337961311447
BaseRepresentation
bin10110110000000100…
…11001010100000101
31011112020121220101220
423120002121110011
5200003344104341
65340005510553
7611454015543
oct133002312405
934466556356
1012214441221
1151a8808524
12244a712459
1311c8707018
1483c2bcd93
154b74cda66
hex2d8099505

12214441221 has 16 divisors (see below), whose sum is σ = 16729282944. Its totient is φ = 7921364544.

The previous prime is 12214441207. The next prime is 12214441237.

It is a happy number.

12214441221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12214441221 - 27 = 12214441093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12214441191 and 12214441200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214441271) 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, 1061320 + ... + 1072766.

It is an arithmetic number, because the mean of its divisors is an integer number (1045580184).

Almost surely, 212214441221 is an apocalyptic number.

It is an amenable number.

12214441221 is a deficient number, since it is larger than the sum of its proper divisors (4514841723).

12214441221 is a wasteful number, since it uses less digits than its factorization.

12214441221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100.

The product of its digits is 1024, while the sum is 24.

The spelling of 12214441221 in words is "twelve billion, two hundred fourteen million, four hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 37 111 9613 11447 28839 34341 355681 423539 1067043 1270617 110040011 330120033 4071480407 12214441221