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1312122120111 = 3211377127118617
BaseRepresentation
bin10011000110000000100…
…100101010011110101111
311122102211001020221212200
4103012000210222132233
5132444211230320421
62442440334432543
7163540415666415
oct23060044523657
94572731227780
101312122120111
11466516803480
1219236b062753
139696a648b8a
14477154b52b5
15241e8269726
hex1318092a7af

1312122120111 has 96 divisors (see below), whose sum is σ = 2161437198336. Its totient is φ = 759979584000.

The previous prime is 1312122120109. The next prime is 1312122120161. The reversal of 1312122120111 is 1110212212131.

It is a happy number.

1312122120111 is a `hidden beast` number, since 1 + 312 + 1 + 221 + 20 + 111 = 666.

It is not a de Polignac number, because 1312122120111 - 21 = 1312122120109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312122120161) 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 95 ways as a sum of consecutive naturals, for example, 70470475 + ... + 70489091.

It is an arithmetic number, because the mean of its divisors is an integer number (22514970816).

Almost surely, 21312122120111 is an apocalyptic number.

1312122120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312122120111 is a deficient number, since it is larger than the sum of its proper divisors (849315078225).

1312122120111 is a wasteful number, since it uses less digits than its factorization.

1312122120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19013 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1312122120111 its reverse (1110212212131), we get a palindrome (2422334332242).

The spelling of 1312122120111 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 11 33 37 71 99 111 213 271 333 407 639 781 813 1221 2343 2439 2627 2981 3663 7029 7881 8943 10027 18617 19241 23643 26829 28897 30081 55851 57723 86691 90243 110297 167553 173169 204787 211651 260073 330891 614361 634953 688829 711917 992673 1321807 1843083 1904859 2066487 2135751 3965421 5045207 6199461 6407253 7577119 7831087 11896263 14539877 15135621 22731357 23493261 43619631 45406863 48906859 55497277 68194071 70479783 130858893 146720577 166491831 186672659 358209697 440161731 499475493 537975449 560017977 1074629091 1613926347 1680053931 2053399249 3223887273 3940306667 4841779041 6160197747 11820920001 13253758789 18480593241 35462760003 39761276367 119283829101 145791346679 437374040037 1312122120111