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121143242341121 = 71121343925061549
BaseRepresentation
bin11011100010110111011011…
…111011010011101100000001
3120212221011212211221100000212
4123202313123323103230001
5111334302330014403441
61105352234235523505
734342211322561110
oct3342673373235401
9525834784840025
10121143242341121
1135666619116100
12117064568b9595
1352799b2c2c330
1421cb515591c77
15e013315a1eeb
hex6e2ddbed3b01

121143242341121 has 48 divisors (see below), whose sum is σ = 164259413472000. Its totient is φ = 86937507550080.

The previous prime is 121143242341111. The next prime is 121143242341151.

121143242341121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121143242341121 - 214 = 121143242324737 is a prime.

It is a super-3 number, since 3×1211432423411213 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121143242341111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7696946 + ... + 17364603.

It is an arithmetic number, because the mean of its divisors is an integer number (3422071114000).

Almost surely, 2121143242341121 is an apocalyptic number.

121143242341121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121143242341121 is a deficient number, since it is larger than the sum of its proper divisors (43116171130879).

121143242341121 is a wasteful number, since it uses less digits than its factorization.

121143242341121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062030 (or 25062019 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 121143242341121 in words is "one hundred twenty-one trillion, one hundred forty-three billion, two hundred forty-two million, three hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 439 847 1001 1573 3073 4829 5707 11011 33803 39949 53119 62777 371833 439439 690547 4833829 25061549 175430843 275677039 325800137 1929739273 2280600959 3032447429 3583801507 11002020011 21227132003 25086610549 39421816577 77014140077 121022220121 143026260143 275952716039 847155540847 1001183821001 1331244421331 1573288861573 9318710949317 11013022031011 17306177477303 121143242341121