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12010012224 = 26378936021
BaseRepresentation
bin10110010111101101…
…00011111001000000
31010222222221211112120
423023312203321000
5144044030342344
65303424124240
7603422263620
oct131366437100
933888854476
1012010012224
11510337aa41
1223b2166680
13119525bb12
1481d0a6880
154a459c219
hex2cbda3e40

12010012224 has 56 divisors (see below), whose sum is σ = 36315993408. Its totient is φ = 3431431680.

The previous prime is 12010012181. The next prime is 12010012303. The reversal of 12010012224 is 42221001021.

12010012224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 4466667 + ... + 4469354.

Almost surely, 212010012224 is an apocalyptic number.

12010012224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12010012224 is an abundant number, since it is smaller than the sum of its proper divisors (24305981184).

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

12010012224 is an equidigital number, since it uses as much as digits as its factorization.

12010012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936043 (or 8936033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12010012224 its reverse (42221001021), we get a palindrome (54231013245).

The spelling of 12010012224 in words is "twelve billion, ten million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 8936021 17872042 26808063 35744084 53616126 62552147 71488168 107232252 125104294 142976336 187656441 214464504 250208588 285952672 375312882 428929008 500417176 571905344 750625764 857858016 1000834352 1501251528 1715716032 2001668704 3002503056 4003337408 6005006112 12010012224