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123214033123312 = 24591453415921599
BaseRepresentation
bin11100000001000000000000…
…101011001111011111110000
3121011021010221211010112002211
4130001000000223033133300
5112122214314434421222
61114015425001021504
734644630414031225
oct3401000053173760
9534233854115084
10123214033123312
113629486157335a
121199b856484894
13539a0586b43b1
14225d83baa394c
15e3a12e2e6277
hex701000acf7f0

123214033123312 has 80 divisors (see below), whose sum is σ = 243010160640000. Its totient is φ = 60503795396352.

The previous prime is 123214033123297. The next prime is 123214033123333. The reversal of 123214033123312 is 213321330412321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5704606689 + ... + 5704628287.

It is an arithmetic number, because the mean of its divisors is an integer number (3037627008000).

Almost surely, 2123214033123312 is an apocalyptic number.

It is an amenable number.

123214033123312 is a deficient number, since it is larger than the sum of its proper divisors (119796127516688).

123214033123312 is a wasteful number, since it uses less digits than its factorization.

123214033123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27278 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 123214033123312 its reverse (213321330412321), we get a palindrome (336535363535633).

The spelling of 123214033123312 in words is "one hundred twenty-three trillion, two hundred fourteen billion, thirty-three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 59 118 236 472 944 1453 2906 4159 5812 8318 11624 16636 21599 23248 33272 43198 66544 85727 86396 171454 172792 245381 342908 345584 490762 685816 981524 1274341 1371632 1963048 2548682 3926096 5097364 6043027 10194728 12086054 20389456 24172108 31383347 48344216 62766694 89830241 96688432 125533388 179660482 251066776 356538593 359320964 502133552 713077186 718641928 1426154372 1437283856 1851617473 2852308744 3703234946 5299984219 5704617488 7406469892 10599968438 14812939784 21199936876 29625879568 42399873752 84799747504 130523340173 261046680346 522093360692 1044186721384 2088373442768 7700877070207 15401754140414 30803508280828 61607016561656 123214033123312