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12221344311 = 3113759169649
BaseRepresentation
bin10110110000111001…
…01110101000110111
31011112201121121122220
423120130232220313
5200012131004221
65340413453423
7611566466301
oct133034565067
934481547586
1012221344311
1152016a2960
122450aa1273
1311c9c830a7
1483d198971
154b7de40c6
hex2d872ea37

12221344311 has 32 divisors (see below), whose sum is σ = 18566496000. Its totient is φ = 7084500480.

The previous prime is 12221344307. The next prime is 12221344321. The reversal of 12221344311 is 11344312221.

It is not a de Polignac number, because 12221344311 - 22 = 12221344307 is a prime.

It is a super-2 number, since 2×122213443112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221344301) 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, 12786 + ... + 156863.

It is an arithmetic number, because the mean of its divisors is an integer number (580203000).

Almost surely, 212221344311 is an apocalyptic number.

12221344311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221344311 is a deficient number, since it is larger than the sum of its proper divisors (6345151689).

12221344311 is a wasteful number, since it uses less digits than its factorization.

12221344311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169759.

The product of its digits is 1152, while the sum is 24.

Adding to 12221344311 its reverse (11344312221), we get a palindrome (23565656532).

The spelling of 12221344311 in words is "twelve billion, two hundred twenty-one million, three hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 11 33 37 59 111 177 407 649 1221 1947 2183 6549 24013 72039 169649 508947 1866139 5598417 6277013 10009291 18831039 30027873 69047143 110102201 207141429 330306603 370343767 1111031301 4073781437 12221344311