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123253212991068 = 2235474933546919
BaseRepresentation
bin11100000001100100011111…
…111110100100111001011100
3121011101220002022222000200000
4130001210133332210321130
5112123340040011203233
61114045424441334300
734650515342306016
oct3401443776447134
9534356068860600
10123253212991068
11362aa43758a956
12119a736b797390
1353a09608853b4
1422616b73851b6
15e3b173ccad13
hex70191ffa4e5c

123253212991068 has 144 divisors (see below), whose sum is σ = 330037745157120. Its totient is φ = 40202043280704.

The previous prime is 123253212991037. The next prime is 123253212991081. The reversal of 123253212991068 is 860199212352321.

123253212991068 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 532 + 1 + 2 + 99 + 10 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225085713 + ... + 225632631.

Almost surely, 2123253212991068 is an apocalyptic number.

123253212991068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123253212991068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165018872578560).

123253212991068 is an abundant number, since it is smaller than the sum of its proper divisors (206784532166052).

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

123253212991068 is a wasteful number, since it uses less digits than its factorization.

123253212991068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551918 (or 551904 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 123253212991068 in words is "one hundred twenty-three trillion, two hundred fifty-three billion, two hundred twelve million, nine hundred ninety-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 972 1269 1692 2538 3807 4933 5076 7614 9866 11421 14799 15228 19732 22842 29598 44397 45684 59196 88794 133191 177588 231851 266382 399573 463702 532764 546919 695553 799146 927404 1093838 1198719 1391106 1598292 1640757 2086659 2187676 2397438 2782212 3281514 4173318 4794876 4922271 6259977 6563028 8346636 9844542 12519954 14766813 18779931 19689084 25039908 25705193 29533626 37559862 44300439 51410386 56339793 59067252 75119724 77115579 88600878 102820772 112679586 132901317 154231158 177201756 225359172 231346737 265802634 308462316 462693474 531605268 694040211 925386948 1388080422 2082120633 2697951427 2776160844 4164241266 5395902854 6246361899 8093854281 8328482532 10791805708 12492723798 16187708562 24281562843 24985447596 32375417124 48563125686 72844688529 97126251372 126803717069 145689377058 218534065587 253607434138 291378754116 380411151207 437068131174 507214868276 655602196761 760822302414 874136262348 1141233453621 1311204393522 1521644604828 2282466907242 2622408787044 3423700360863 4564933814484 6847400721726 10271101082589 13694801443452 20542202165178 30813303247767 41084404330356 61626606495534 123253212991068