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12324122334104 = 237272474338221
BaseRepresentation
bin1011001101010110111011…
…1011110001001110011000
31121122011201021102200002012
42303111232323301032120
53103404300304142404
642113342412325052
72411250145260500
oct263255673611630
947564637380065
1012324122334104
113a216a384a809
1214705b7773788
136b520cc7ac69
143086c26c2a00
151658a31d7a6e
hexb356eef1398

12324122334104 has 48 divisors (see below), whose sum is σ = 26884135262880. Its totient is φ = 5281036676160.

The previous prime is 12324122334101. The next prime is 12324122334119. The reversal of 12324122334104 is 40143322142321.

It is a happy number.

It is a super-2 number, since 2×123241223341042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324122334101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671714 + ... + 5009934.

It is an arithmetic number, because the mean of its divisors is an integer number (560086151310).

Almost surely, 212324122334104 is an apocalyptic number.

12324122334104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12324122334104 is an abundant number, since it is smaller than the sum of its proper divisors (14560012928776).

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

12324122334104 is a wasteful number, since it uses less digits than its factorization.

12324122334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345488 (or 4345477 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12324122334104 its reverse (40143322142321), we get a palindrome (52467444476425).

The spelling of 12324122334104 in words is "twelve trillion, three hundred twenty-four billion, one hundred twenty-two million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7247 14494 28988 50729 57976 101458 202916 355103 405832 710206 1420412 2840824 4338221 8676442 17352884 30367547 34705768 60735094 121470188 212572829 242940376 425145658 850291316 1700582632 31439087587 62878175174 125756350348 220073613109 251512700696 440147226218 880294452436 1540515291763 1760588904872 3081030583526 6162061167052 12324122334104