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123040010322312 = 23359251547632881
BaseRepresentation
bin11011111110011101111100…
…000110111100000110001000
3121010122111202212112021102220
4123332131330012330012020
5112111341420120303222
61113403444520254040
734626230104443246
oct3376357406740610
9533574685467386
10123040010322312
1136227a801a9266
1211971b8a611320
1353868141b45b5
14225524da5d796
15e3584671eb5c
hex6fe77c1bc188

123040010322312 has 128 divisors (see below), whose sum is σ = 314634501619200. Its totient is φ = 40084087680000.

The previous prime is 123040010322293. The next prime is 123040010322377. The reversal of 123040010322312 is 213223010040321.

It is a super-2 number, since 2×1230400103223122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 194096112 + ... + 194728992.

It is an arithmetic number, because the mean of its divisors is an integer number (2458082043900).

Almost surely, 2123040010322312 is an apocalyptic number.

123040010322312 is a gapful number since it is divisible by the number (12) 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 123040010322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157317250809600).

123040010322312 is an abundant number, since it is smaller than the sum of its proper divisors (191594491296888).

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

123040010322312 is a wasteful number, since it uses less digits than its factorization.

123040010322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633747 (or 633743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123040010322312 its reverse (213223010040321), we get a palindrome (336263020362633).

The spelling of 123040010322312 in words is "one hundred twenty-three trillion, forty billion, ten million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 251 354 472 502 547 708 753 1004 1094 1416 1506 1641 2008 2188 3012 3282 4376 6024 6564 13128 14809 29618 32273 44427 59236 64546 88854 96819 118472 129092 137297 177708 193638 258184 274594 355416 387276 411891 549188 632881 774552 823782 1098376 1265762 1647564 1898643 2531524 3295128 3797286 5063048 7594572 8100523 15189144 16201046 24301569 32402092 37339979 48603138 64804184 74679958 97206276 112019937 149359916 158853131 194412552 224039874 298719832 317706262 346185907 448079748 476559393 635412524 692371814 896159496 953118786 1038557721 1270825048 1384743628 1906237572 2077115442 2769487256 3812475144 4154230884 8308461768 9372334729 18744669458 20424968513 28117004187 37489338916 40849937026 56234008374 61274905539 74978677832 81699874052 86892662657 112468016748 122549811078 163399748104 173785325314 224936033496 245099622156 260677987971 347570650628 490199244312 521355975942 695141301256 1042711951884 2085423903768 5126667096763 10253334193526 15380001290289 20506668387052 30760002580578 41013336774104 61520005161156 123040010322312