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12170229840 = 2432516903097
BaseRepresentation
bin10110101010110011…
…01111100001010000
31011102011102201210100
423111121233201100
5144411034323330
65331350132400
7610406150436
oct132531574120
934364381710
1012170229840
11518586089a
122437951100
1311bc4c7642
14836490d56
154b3699060
hex2d566f850

12170229840 has 60 divisors (see below), whose sum is σ = 40871690964. Its totient is φ = 3245394432.

The previous prime is 12170229749. The next prime is 12170229853. The reversal of 12170229840 is 4892207121.

12170229840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2645250624 + 9524979216 = 51432^2 + 97596^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×121702298402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12170229795 and 12170229804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8450829 + ... + 8452268.

Almost surely, 212170229840 is an apocalyptic number.

12170229840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12170229840 is an abundant number, since it is smaller than the sum of its proper divisors (28701461124).

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

12170229840 is a wasteful number, since it uses less digits than its factorization.

12170229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16903116 (or 16903107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12170229840 in words is "twelve billion, one hundred seventy million, two hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16903097 33806194 50709291 67612388 84515485 101418582 135224776 152127873 169030970 202837164 253546455 270449552 304255746 338061940 405674328 507092910 608511492 676123880 760639365 811348656 1014185820 1217022984 1352247760 1521278730 2028371640 2434045968 3042557460 4056743280 6085114920 12170229840