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12024032344332 = 22315725145755639
BaseRepresentation
bin1010111011111001000000…
…1011010011100100001100
31120120111010111011200120120
42232332100023103210030
53034000204240004312
641323433022344540
72350464505404231
oct256762013234414
946514114150516
1012024032344332
1139163aa8798a8
12142240812b150
13692b27601c88
142d7d75637788
1515cb8cba028c
hexaef902d390c

12024032344332 has 96 divisors (see below), whose sum is σ = 28409805365760. Its totient is φ = 3957864768000.

The previous prime is 12024032344321. The next prime is 12024032344399. The reversal of 12024032344332 is 23344323042021.

It is a junction number, because it is equal to n+sod(n) for n = 12024032344293 and 12024032344302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216080169 + ... + 216135807.

It is an arithmetic number, because the mean of its divisors is an integer number (295935472560).

Almost surely, 212024032344332 is an apocalyptic number.

12024032344332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12024032344332 is an abundant number, since it is smaller than the sum of its proper divisors (16385773021428).

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

12024032344332 is a wasteful number, since it uses less digits than its factorization.

12024032344332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56511 (or 56509 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 12024032344332 its reverse (23344323042021), we get a palindrome (35368355386353).

The spelling of 12024032344332 in words is "twelve trillion, twenty-four billion, thirty-two million, three hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 157 251 314 457 471 502 628 753 914 942 1004 1371 1506 1828 1884 2742 3012 5484 39407 55639 71749 78814 111278 114707 118221 143498 157628 166917 215247 222556 229414 236442 286996 333834 344121 430494 458828 472884 667668 688242 860988 1376484 8735323 13965389 17470646 18008999 25427023 26205969 27930778 34941292 36017998 41896167 50854046 52411938 54026997 55861556 72035996 76281069 83792334 101708092 104823876 108053994 152562138 167584668 216107988 305124276 2192566073 3992042611 4385132146 6382182773 6577698219 7984085222 8770264292 11976127833 12764365546 13155396438 15968170444 19146548319 23952255666 25528731092 26310792876 38293096638 47904511332 76586193276 1002002695361 2004005390722 3006008086083 4008010781444 6012016172166 12024032344332