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12114213032240 = 2451167720334049
BaseRepresentation
bin1011000001001000111101…
…0111010101000100110000
31120220002220100001021220122
42300102033113111010300
53041434402014012430
641433105335425412
72360136330532544
oct260221727250460
946802810037818
1012114213032240
113950677492440
121437995525268
1369b4999a9277
142dc48c52ba24
151601b9d1dee5
hexb048f5d5130

12114213032240 has 80 divisors (see below), whose sum is σ = 30771436528800. Its totient is φ = 4398661263360.

The previous prime is 12114213032237. The next prime is 12114213032249. The reversal of 12114213032240 is 4223031241121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×121142130322403 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114213032249) 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 15 ways as a sum of consecutive naturals, for example, 9571265 + ... + 10762784.

It is an arithmetic number, because the mean of its divisors is an integer number (384642956610).

Almost surely, 212114213032240 is an apocalyptic number.

12114213032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114213032240 is an abundant number, since it is smaller than the sum of its proper divisors (18657223496560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114213032240 is a wasteful number, since it uses less digits than its factorization.

12114213032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20334750 (or 20334744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12114213032240 its reverse (4223031241121), we get a palindrome (16337244273361).

The spelling of 12114213032240 in words is "twelve trillion, one hundred fourteen billion, two hundred thirteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 677 880 1354 2708 3385 5416 6770 7447 10832 13540 14894 27080 29788 37235 54160 59576 74470 119152 148940 297880 595760 20334049 40668098 81336196 101670245 162672392 203340490 223674539 325344784 406680980 447349078 813361960 894698156 1118372695 1626723920 1789396312 2236745390 3578792624 4473490780 8946981560 13766151173 17893963120 27532302346 55064604692 68830755865 110129209384 137661511730 151427662903 220258418768 275323023460 302855325806 550646046920 605710651612 757138314515 1101292093840 1211421303224 1514276629030 2422842606448 3028553258060 6057106516120 12114213032240