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12110612040 = 2332539784737
BaseRepresentation
bin10110100011101100…
…10100011001001000
31011021000020211112200
423101312110121020
5144300304041130
65321420240200
7606053334552
oct132166243110
934230224480
1012110612040
11515514108a
12241b9a0060
1311b0052637
1482c5b24d2
154ad31e760
hex2d1d94648

12110612040 has 96 divisors (see below), whose sum is σ = 39459097080. Its totient is φ = 3221323776.

The previous prime is 12110612029. The next prime is 12110612083. The reversal of 12110612040 is 4021601121.

12110612040 is a `hidden beast` number, since 1 + 2 + 1 + 10 + 612 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11379342276 + 731269764 = 106674^2 + 27042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100552 + ... + 185288.

Almost surely, 212110612040 is an apocalyptic number.

12110612040 is a gapful number since it is divisible by the number (10) 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 12110612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729548540).

12110612040 is an abundant number, since it is smaller than the sum of its proper divisors (27348485040).

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

12110612040 is a wasteful number, since it uses less digits than its factorization.

12110612040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85151 (or 85144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 12110612040 in words is "twelve billion, one hundred ten million, six hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 7146 7940 9528 11910 14292 15880 17865 23820 28584 35730 47640 71460 84737 142920 169474 254211 338948 423685 508422 677896 762633 847370 1016844 1271055 1525266 1694740 2033688 2542110 3050532 3389480 3813165 5084220 6101064 7626330 10168440 15252660 30505320 33640589 67281178 100921767 134562356 168202945 201843534 269124712 302765301 336405890 403687068 504608835 605530602 672811780 807374136 1009217670 1211061204 1345623560 1513826505 2018435340 2422122408 3027653010 4036870680 6055306020 12110612040