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12422133122421 = 311313783247639
BaseRepresentation
bin1011010011000100000011…
…0101010000010101110101
31121222112200211000120220010
42310301000311100111311
53112011012034404141
642230352115530433
72421320016236151
oct264610065202565
947875624016803
1012422133122421
113a5a219337710
1214875ab2b9a19
136c152c61c969
1430d33d496061
151681dc991416
hexb4c40d50575

12422133122421 has 96 divisors (see below), whose sum is σ = 19389483048960. Its totient is φ = 7003243324800.

The previous prime is 12422133122303. The next prime is 12422133122423.

12422133122421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12422133122421 - 27 = 12422133122293 is a prime.

It is a super-2 number, since 2×124221331224212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422133122423) 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, 260731720 + ... + 260779358.

It is an arithmetic number, because the mean of its divisors is an integer number (201973781760).

Almost surely, 212422133122421 is an apocalyptic number.

12422133122421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12422133122421 is a deficient number, since it is larger than the sum of its proper divisors (6967349926539).

12422133122421 is a wasteful number, since it uses less digits than its factorization.

12422133122421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47887 (or 47804 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1242213 and 3122421, that added together give a palindrome (4364634).

The spelling of 12422133122421 in words is "twelve trillion, four hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 3 11 31 33 37 83 93 111 249 341 407 913 1023 1147 1221 2573 2739 3071 3441 6889 7719 9213 12617 20667 28303 33781 37851 47639 75779 84909 95201 101343 142917 213559 227337 254893 285603 524029 640677 764679 1047211 1476809 1572087 1762643 2349149 2803823 3141633 3954037 4430427 5287929 7047447 7901683 8411469 11862111 16244899 19389073 23705049 43494407 48734697 54641933 58167219 86918513 122575147 130483221 146299369 163925799 260755539 328185071 367725441 438898107 601061263 984555213 1348326617 1609293059 1803183789 3610035781 4044979851 4535280439 4827879177 10173737201 10830107343 12142847627 13605841317 30521211603 36428542881 49888084829 111911109211 133571323897 149664254487 335733327633 376428276437 400713971691 1129284829311 4140711040807 12422133122421