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12224424024033 = 31319411039138723
BaseRepresentation
bin1011000111100011100001…
…1100111001011111100001
31121021122101010110202121120
42301320320130321133201
53100241110022232113
641555453423442453
72401120423520454
oct261707034713741
947248333422546
1012224424024033
113993392742831
121455212a56429
136a89b1b0b590
1430394575549b
15162eba6e2a23
hexb1e387397e1

12224424024033 has 64 divisors (see below), whose sum is σ = 18929827768320. Its totient is φ = 6952116902400.

The previous prime is 12224424023983. The next prime is 12224424024101. The reversal of 12224424024033 is 33042042442221.

It is a happy number.

It is not a de Polignac number, because 12224424024033 - 29 = 12224424023521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12224424023985 and 12224424024003.

It is not an unprimeable number, because it can be changed into a prime (12224424024733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315669610 + ... + 315708332.

It is an arithmetic number, because the mean of its divisors is an integer number (295778558880).

Almost surely, 212224424024033 is an apocalyptic number.

12224424024033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12224424024033 is a deficient number, since it is larger than the sum of its proper divisors (6705403744287).

12224424024033 is a wasteful number, since it uses less digits than its factorization.

12224424024033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49190.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 12224424024033 its reverse (33042042442221), we get a palindrome (45266466466254).

The spelling of 12224424024033 in words is "twelve trillion, two hundred twenty-four billion, four hundred twenty-four million, twenty-four thousand, thirty-three".

Divisors: 1 3 13 19 39 41 57 123 247 533 741 779 1599 2337 10127 10391 30381 31173 38723 116169 135083 197429 405249 426031 503399 592287 735737 1278093 1510197 1587643 2207211 2566577 4762929 5538403 7699731 8094589 9564581 16615209 20639359 24283767 28693743 30165217 61918077 90495651 105229657 315688971 392147821 402370693 1176443463 1207112079 5230819009 7645043167 15692457027 16497198413 22935129501 49491595239 99385561171 214463579369 298156683513 313446769847 643390738107 940340309541 4074808008011 12224424024033