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12262444426221 = 31129103197631483
BaseRepresentation
bin1011001001110001001010…
…1001001110001111101101
31121102021111211120022102120
42302130102221032033231
53101401441233114341
642025142244543153
72403634542562203
oct262342251161755
947367454508376
1012262444426221
1139a8523219720
1214606639b1ab9
136ac460a0ac92
14305711059073
15163e934e7066
hexb2712a4e3ed

12262444426221 has 64 divisors (see below), whose sum is σ = 18725066680320. Its totient is φ = 7069769360640.

The previous prime is 12262444426189. The next prime is 12262444426229.

12262444426221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12262444426221 - 25 = 12262444426189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262444426229) 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 63 ways as a sum of consecutive naturals, for example, 19102746 + ... + 19734228.

It is an arithmetic number, because the mean of its divisors is an integer number (292579166880).

Almost surely, 212262444426221 is an apocalyptic number.

12262444426221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12262444426221 is a deficient number, since it is larger than the sum of its proper divisors (6462622254099).

12262444426221 is a wasteful number, since it uses less digits than its factorization.

12262444426221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631826.

The product of its digits is 589824, while the sum is 42.

The spelling of 12262444426221 in words is "twelve trillion, two hundred sixty-two billion, four hundred forty-four million, four hundred twenty-six thousand, two hundred twenty-one".

Divisors: 1 3 11 29 33 87 103 197 309 319 591 957 1133 2167 2987 3399 5713 6501 8961 17139 20291 32857 60873 62843 98571 188529 223201 588439 631483 669603 1765317 1894449 6472829 6946313 18313007 19418487 20838939 54939021 65042749 124402151 195128247 201443077 373206453 604329231 715470239 1368423661 1886239721 2146410717 3607662379 4105270983 5658719163 10822987137 12813421553 20748636931 38440264659 39684286169 62245910793 119052858507 140947637083 371589225037 422842911249 1114767675111 4087481475407 12262444426221