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12242133443121 = 343947920310889
BaseRepresentation
bin1011001000100101100000…
…0000111110001000110001
31121100100002022212110120020
42302021120000332020301
53101033342130134441
642011543010034053
72402315323223061
oct262113000761061
947310068773506
1012242133443121
11399a9501a447a
121458735878929
136aa574a8b39a
143047457413a1
151636a52ece66
hexb225803e231

12242133443121 has 32 divisors (see below), whose sum is σ = 16723435322880. Its totient is φ = 7961607502464.

The previous prime is 12242133443107. The next prime is 12242133443123. The reversal of 12242133443121 is 12134433124221.

It is not a de Polignac number, because 12242133443121 - 219 = 12242132918833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12242133443123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124260645 + ... + 1124271533.

It is an arithmetic number, because the mean of its divisors is an integer number (522607353840).

Almost surely, 212242133443121 is an apocalyptic number.

It is an amenable number.

12242133443121 is a deficient number, since it is larger than the sum of its proper divisors (4481301879759).

12242133443121 is a wasteful number, since it uses less digits than its factorization.

12242133443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21085.

The product of its digits is 27648, while the sum is 33.

Adding to 12242133443121 its reverse (12134433124221), we get a palindrome (24376566567342).

The spelling of 12242133443121 in words is "twelve trillion, two hundred forty-two billion, one hundred thirty-three million, four hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 43 129 947 2841 9203 10889 27609 32667 40721 122163 395729 468227 1187187 1404681 8715241 10311883 26145723 30935649 100211467 300634401 374755363 443410969 1124266089 1330232907 4309093081 12927279243 94900259249 284700777747 4080711147707 12242133443121