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12243912024 = 2333153310507
BaseRepresentation
bin10110110011100101…
…10100010101011000
31011121022002011202010
423121302310111120
5200033420141044
65342541305520
7612262351341
oct133162642530
934538064663
1012243912024
115213407363
1224585652a0
131201855176
148421910c8
154b9da0bb9
hex2d9cb4558

12243912024 has 64 divisors (see below), whose sum is σ = 32193469440. Its totient is φ = 3875114880.

The previous prime is 12243912019. The next prime is 12243912029. The reversal of 12243912024 is 42021934221.

12243912024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12243912019) and next prime (12243912029).

It is a junction number, because it is equal to n+sod(n) for n = 12243911982 and 12243912000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243912029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115822 + ... + 194685.

It is an arithmetic number, because the mean of its divisors is an integer number (503022960).

Almost surely, 212243912024 is an apocalyptic number.

It is an amenable number.

12243912024 is an abundant number, since it is smaller than the sum of its proper divisors (19949557416).

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

12243912024 is a wasteful number, since it uses less digits than its factorization.

12243912024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310600 (or 310596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12243912024 in words is "twelve billion, two hundred forty-three million, nine hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 3286 4929 6572 9858 13144 19716 39432 310507 621014 931521 1242028 1863042 2484056 3726084 7452168 9625717 16456871 19251434 28877151 32913742 38502868 49370613 57754302 65827484 77005736 98741226 115508604 131654968 197482452 231017208 394964904 510163001 1020326002 1530489003 2040652004 3060978006 4081304008 6121956012 12243912024