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12344204421241 = 7211192311203989
BaseRepresentation
bin1011001110100001101111…
…1010110110100001111001
31121201002112211102101201021
42303220123322312201321
53104221412312434431
642130503233222441
72412560615222500
oct263503372664171
947632484371637
1012344204421241
113a2a169646040
121474481101a21
136b7090666c64
14309669855837
1516617b26ab11
hexb3a1beb6879

12344204421241 has 72 divisors (see below), whose sum is σ = 16586110307520. Its totient is φ = 9083259259200.

The previous prime is 12344204421223. The next prime is 12344204421337. The reversal of 12344204421241 is 14212440244321.

It is not a de Polignac number, because 12344204421241 - 29 = 12344204420729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12344204421197 and 12344204421206.

It is not an unprimeable number, because it can be changed into a prime (12344204421641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60412075 + ... + 60616063.

It is an arithmetic number, because the mean of its divisors is an integer number (230362643160).

Almost surely, 212344204421241 is an apocalyptic number.

12344204421241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12344204421241 is a deficient number, since it is larger than the sum of its proper divisors (4241905886279).

12344204421241 is a wasteful number, since it uses less digits than its factorization.

12344204421241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204363 (or 204337 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 12344204421241 its reverse (14212440244321), we get a palindrome (26556644665562).

The spelling of 12344204421241 in words is "twelve trillion, three hundred forty-four billion, two hundred four million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 7 11 19 49 77 133 209 311 361 539 931 1463 2177 2527 3421 3971 5909 10241 15239 17689 23947 27797 41363 64999 112271 167629 194579 203989 289541 454993 785897 1234981 1427923 2243879 3184951 3875791 5501279 8644867 9995461 15707153 27130537 42633701 60514069 63440579 73640029 109950071 189913759 298435907 444084053 515480203 697846369 810040319 1205371001 2089051349 3108588371 3608361421 4884924583 5670282233 8437597007 13259081011 22902049019 34194472081 39691975631 59063179049 92813567077 160314343133 251922539209 649694969539 1122200401931 1763457774463 12344204421241