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12012221199 = 31117375361179
BaseRepresentation
bin10110010111111101…
…11111001100001111
31011000011010001200110
423023332333030033
5144100112034244
65303543331103
7603450124026
oct131376771417
934004101613
1012012221199
115104649640
1223b2a50a93
1311958533c4
1481d4bd8bd
154a48869b9
hex2cbfbf30f

12012221199 has 128 divisors (see below), whose sum is σ = 19785876480. Its totient is φ = 6397747200.

The previous prime is 12012221197. The next prime is 12012221227. The reversal of 12012221199 is 99112221021.

It is not a de Polignac number, because 12012221199 - 21 = 12012221197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012221197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67107292 + ... + 67107470.

It is an arithmetic number, because the mean of its divisors is an integer number (154577160).

Almost surely, 212012221199 is an apocalyptic number.

12012221199 is a deficient number, since it is larger than the sum of its proper divisors (7773655281).

12012221199 is a wasteful number, since it uses less digits than its factorization.

12012221199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 12012221199 in words is "twelve billion, twelve million, two hundred twenty-one thousand, one hundred ninety-nine".

Divisors: 1 3 11 17 33 37 51 53 61 111 159 179 183 187 407 537 561 583 629 671 901 1037 1221 1749 1887 1961 1969 2013 2257 2703 3043 3111 3233 5883 5907 6623 6771 6919 9129 9487 9699 9911 10919 11407 19869 20757 21571 24827 28461 29733 32757 33337 33473 34221 35563 38369 54961 64713 72853 74481 100011 100419 104357 106689 112591 115107 119621 120109 161279 164883 185623 218559 313071 337773 351019 358863 360327 366707 404003 422059 483837 556869 578707 604571 1053057 1100121 1212009 1238501 1266177 1315831 1736121 1774069 1813713 2033557 2041853 3715503 3861209 3947493 4444033 5322207 5967323 6100671 6125559 6365777 6868051 9838019 11583627 13332099 17901969 19097331 20604153 21412159 22369127 29514057 64236477 65640553 67107381 75548561 108218209 196921659 226645683 235533749 324654627 364006703 706601247 1092020109 4004073733 12012221199