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12010010112 = 29327136709
BaseRepresentation
bin10110010111101101…
…00011011000000000
31010222222221201122100
423023312203120000
5144044030310422
65303424110400
7603422254512
oct131366433000
933888851570
1012010010112
1151033793a1
1223b2165400
13119525ab79
1481d0a5bb2
154a459b7ac
hex2cbda3600

12010010112 has 120 divisors (see below), whose sum is σ = 35150852880. Its totient is φ = 3946844160.

The previous prime is 12010010093. The next prime is 12010010113. The reversal of 12010010112 is 21101001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12010010094 and 12010010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010010113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308814 + ... + 345522.

It is an arithmetic number, because the mean of its divisors is an integer number (292923774).

Almost surely, 212010010112 is an apocalyptic number.

12010010112 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 12010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575426440).

12010010112 is an abundant number, since it is smaller than the sum of its proper divisors (23140842768).

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

12010010112 is an equidigital number, since it uses as much as digits as its factorization.

12010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36804 (or 36785 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010010112 its reverse (21101001021), we get a palindrome (33111011133).

Subtracting 12010010112 from its reverse (21101001021), we obtain a palindrome (9090990909).

The spelling of 12010010112 in words is "twelve billion, ten million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1136 1152 1278 1536 1704 2272 2304 2556 3408 4544 4608 5112 6816 9088 10224 13632 18176 20448 27264 36352 36709 40896 54528 73418 81792 109056 110127 146836 163584 220254 293672 327168 330381 440508 587344 660762 881016 1174688 1321524 1762032 2349376 2606339 2643048 3524064 4698752 5212678 5286096 7048128 7819017 9397504 10425356 10572192 14096256 15638034 18795008 20850712 21144384 23457051 28192512 31276068 41701424 42288768 46914102 56385024 62552136 83402848 84577536 93828204 125104272 166805696 169155072 187656408 250208544 333611392 375312816 500417088 667222784 750625632 1000834176 1334445568 1501251264 2001668352 3002502528 4003336704 6005005056 12010010112