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123412142412 = 2232133171911831
BaseRepresentation
bin111001011101111101…
…1111101100101001100
3102210112210201101221100
41302323323331211030
54010222002024122
6132410022303100
711626160621316
oct1627373754514
9383483641840
10123412142412
114837aa34229
121bb02587a90
13b83a0a1c50
145d8a5947b6
15332480aaac
hex1cbbefd94c

123412142412 has 144 divisors (see below), whose sum is σ = 347304222720. Its totient is φ = 36693820800.

The previous prime is 123412142411. The next prime is 123412142453. The reversal of 123412142412 is 214241214321.

123412142412 is a `hidden beast` number, since 1 + 2 + 3 + 412 + 1 + 4 + 241 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123412142411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10425337 + ... + 10437167.

It is an arithmetic number, because the mean of its divisors is an integer number (2411834880).

Almost surely, 2123412142412 is an apocalyptic number.

123412142412 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 123412142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173652111360).

123412142412 is an abundant number, since it is smaller than the sum of its proper divisors (223892080308).

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

123412142412 is a wasteful number, since it uses less digits than its factorization.

123412142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604 (or 12599 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 123412142412 its reverse (214241214321), we get a palindrome (337653356733).

The spelling of 123412142412 in words is "one hundred twenty-three billion, four hundred twelve million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 719 806 1116 1209 1438 1612 2157 2418 2876 3627 4314 4836 6471 7254 8628 9347 11831 12942 14508 18694 22289 23662 25884 28041 35493 37388 44578 47324 56082 66867 70986 84123 89156 106479 112164 133734 141972 153803 168246 200601 212958 267468 289757 307606 336492 366761 401202 425916 461409 579514 615212 733522 802404 869271 922818 1100283 1159028 1384227 1467044 1738542 1845636 2200566 2607813 2768454 3300849 3477084 4401132 4767893 5215626 5536908 6601698 8506489 9535786 10431252 13203396 14303679 17012978 19071572 25519467 28607358 34025956 42911037 51038934 57214716 76558401 85822074 102077868 110584357 153116802 171644148 221168714 263701159 306233604 331753071 442337428 527402318 663506142 791103477 995259213 1054804636 1327012284 1582206954 1990518426 2373310431 3164413908 3428115067 3981036852 4746620862 6856230134 9493241724 10284345201 13712460268 20568690402 30853035603 41137380804 61706071206 123412142412