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123213016444672 = 2871147132992773
BaseRepresentation
bin11100000000111111000100…
…000100111010111100000000
3121011021001022222001220012101
4130000333010010322330000
5112122210224202212142
61114015140042040144
734644563260303450
oct3400770404727400
9534231288056171
10123213016444672
113629438a698680
121199b611aa9054
135399c25b877bb
14225d782a53d60
15e3a0bee1d0b7
hex700fc413af00

123213016444672 has 144 divisors (see below), whose sum is σ = 313156489024512. Its totient is φ = 46983686492160.

The previous prime is 123213016444643. The next prime is 123213016444691. The reversal of 123213016444672 is 276444610312321.

123213016444672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 65569923 + ... + 67422850.

It is an arithmetic number, because the mean of its divisors is an integer number (2174697840448).

Almost surely, 2123213016444672 is an apocalyptic number.

It is an amenable number.

123213016444672 is an abundant number, since it is smaller than the sum of its proper divisors (189943472579840).

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

123213016444672 is a wasteful number, since it uses less digits than its factorization.

123213016444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132992854 (or 132992840 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

Adding to 123213016444672 its reverse (276444610312321), we get a palindrome (399657626756993).

The spelling of 123213016444672 in words is "one hundred twenty-three trillion, two hundred thirteen billion, sixteen million, four hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 128 154 176 188 224 256 308 329 352 376 448 517 616 658 704 752 896 1034 1232 1316 1408 1504 1792 2068 2464 2632 2816 3008 3619 4136 4928 5264 6016 7238 8272 9856 10528 12032 14476 16544 19712 21056 28952 33088 42112 57904 66176 84224 115808 132352 231616 463232 926464 132992773 265985546 531971092 930949411 1063942184 1462920503 1861898822 2127884368 2925841006 3723797644 4255768736 5851682012 6250660331 7447595288 8511537472 10240443521 11703364024 12501320662 14895190576 17023074944 20480887042 23406728048 25002641324 29790381152 34046149888 40961774084 43754622317 46813456096 50005282648 59580762304 68757263641 81923548168 87509244634 93626912192 100010565296 119161524608 137514527282 163847096336 175018489268 187253824384 200021130592 238323049216 275029054564 327694192672 350036978536 374507648768 400042261184 481300845487 550058109128 655388385344 700073957072 800084522368 962601690974 1100116218256 1310776770688 1400147914144 1600169044736 1925203381948 2200232436512 2621553541376 2800295828288 3850406763896 4400464873024 5600591656576 7700813527792 8800929746048 11201183313152 15401627055584 17601859492096 30803254111168 61606508222336 123213016444672