Search a number
-
+
12221111121 = 3314127111827
BaseRepresentation
bin10110110000110111…
…10101101101010001
31011112201011202210020
423120123311231101
5200012101023441
65340404454053
7611564505402
oct133033655521
934481152706
1012221111121
11520155373a
1224509aa329
1311c9c00bcb
1483d1379a9
154b7d99e66
hex2d86f5b51

12221111121 has 32 divisors (see below), whose sum is σ = 17295753216. Its totient is φ = 7663248000.

The previous prime is 12221111107. The next prime is 12221111173. The reversal of 12221111121 is 12111112221.

It is a happy number.

It is not a de Polignac number, because 12221111121 - 26 = 12221111057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12221111121.

It is not an unprimeable number, because it can be changed into a prime (12221111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027410 + ... + 1039236.

It is an arithmetic number, because the mean of its divisors is an integer number (540492288).

Almost surely, 212221111121 is an apocalyptic number.

It is an amenable number.

12221111121 is a deficient number, since it is larger than the sum of its proper divisors (5074642095).

12221111121 is a wasteful number, since it uses less digits than its factorization.

12221111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173.

The product of its digits is 16, while the sum is 15.

Adding to 12221111121 its reverse (12111112221), we get a palindrome (24332223342).

The spelling of 12221111121 in words is "twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 31 41 93 123 271 813 1271 3813 8401 11111 11827 25203 33333 35481 344441 366637 484907 1033323 1099911 1454721 3205117 9615351 15032117 45096351 99358627 131409797 298075881 394229391 4073703707 12221111121